gistfile1.txt

   2288 n
   1741 x
   1506 apply
   1273 m
   1272 auto
   1116 rewrite
   1016 destruct
    961 in
    947 a
    881 intros
    839 forall
    791 H
    756 omega
    744 P
    733 with
    696 S
    685 Qed
    644 0
    577 A
    558 2
    541 assert
    516 1
    500 y
    498 b
    488 intro
    487 t
    452 simpl
    433 H0
    424 exists
    407 f
    403 nat
    379 _
    374 Require
    372 Import
    345 unfold
    342 by
    340 Lemma
    319 Proof
    307 c
    297 as
    297 Theorem
    294 p
    284 H1
    283 replace
    278 B
    267 induction
    262 e
    249 s
    242 T
    241 x0
    211 ring
    210 pow
    188 Definitions
    184 H2
    178 match
    178 end
    169 d
    169 Q
    166 z
    162 Prop
    160 t1
    151 C
    150 split
    149 xs
    149 k
    148 card
    141 Leaf
    139 Node
    139 4
    138 t0
    130 case
    128 t2
    124 Some
    123 L
    122 Definition
    116 Z
    114 X
    113 nil
    111 H3
    110 left
    108 right
    104 l
    102 elim
    101 o
     98 clear
     93 fun
     91 Arith
     90 inversion
     88 False_ind
     86 t3
     84 100
     83 g
     82 sum
     82 generalize
     81 Mn
     80 u
     78 r
     71 reflexivity
     71 Y
     70 env
     69 IHn
     67 specialize
     66 list
     66 double
     65 t4
     65 exact
     59 n0
     58 trivial
     57 height
     56 set
     55 Omega
     55 H4
     54 ys
     54 Scope
     54 Open
     54 Let
     54 As
     53 N
     52 fib
     51 x1
     51 v
     50 repeat
     50 ZArith
     49 tauto
     49 remember
     49 assumption
     49 Z_le_dec
     48 t5
     48 Fixpoint
     48 11
     47 even
     47 Collatz
     47 3
     46 x2
     46 snd
     46 length
     45 i
     45 fst
     44 h
     44 congruence
     44 Z_scope
     44 Peirce
     44 P_dec
     42 div2
     41 then
     41 map
     41 if
     41 a0
     40 else
     40 arith
     40 H5
     39 positive
     39 cut
     39 Zabs
     38 even_odd_dec
     38 eq_nat_dec
     37 dec
     37 d0
     37 contradict
     37 False
     36 Zpos
     36 O
     36 HA
     35 le_trans
     35 at
     34 q
     34 kinaba
     34 cbv
     34 card_eq
     33 qnighy
     33 absurd
     33 Type
     33 Modus_ponens
     33 I
     32 ring_simplify
     32 contradiction
     32 List
     31 rel_prime
     31 le_lt_dec
     31 Str_nth
     31 Ltac
     31 K
     30 zarith
     30 ksk
     30 Excluded_Middle
     29 symmetry
     29 None
     29 M
     29 In
     29 H6
     28 stk
     28 mult_assoc
     28 String
     28 HB
     27 tcard
     27 pose
     27 ICD
     26 t6
     26 Zdiv2
     26 X2
     25 set_eq
     25 p1
     25 not_even_and_odd
     25 f2
     25 discriminate
     25 compute
     25 LPO
     24 prime
     24 hirose
     24 P_all
     23 tmp1
     23 scard
     23 pz_to_pq
     23 fold
     23 P_ex
     23 H7
     22 tri
     22 g2
     22 field
     22 eval_ops
     22 S_last_false
     22 IHa
     22 91
     22 5
     21 xss
     21 surjective_pairing
     21 Tree
     21 Eq
     20 mult_comm
     20 hy
     20 e0
     19 y1
     19 try
     19 le_or_lt
     19 intersect
     19 finite_sub
     19 eapply
     19 Set
     19 HP
     19 HD
     19 Even
     19 Classical
     18 xv
     18 true
     18 rel_prime_sym
     18 polyCalc
     18 ops
     18 iterate
     18 injective
     18 do
     18 change
     18 Z_lt_dec
     18 X3
     18 X1
     17 y2
     17 total
     17 term
     17 sub_lists
     17 revert
     17 pair_i
     17 mat
     17 let
     17 kik
     17 hz
     17 eval_expr
     17 erewrite
     17 decidable
     17 Zeven_div2
     17 Z_eq_dec
     17 PIE2
     17 Hratio
     17 FibFunc
     17 D
     17 101
     16 using
     16 trailing_zeros
     16 s_Last_Theorem
     16 perfect_square
     16 p0
     16 nat_of_P
     16 mult_plus_distr_l
     16 mod
     16 l0
     16 init_n
     16 id_after_false
     16 cardauto1
     16 card_sum
     16 Z_le_lt_eq_dec
     16 TtoT2
     16 Op
     16 Inductive
     16 IHm
     16 Fermat
     16 Falso
     16 12
     16 10
     15 unionl
     15 sym_eq
     15 iso
     15 intersect_assoc
     15 increasing
     15 fg2_id
     15 false
     15 TtoT3
     15 T3toT
     15 P2N
     15 Lt
     15 Heqb
     15 H8
     15 GCDH
     15 Cs
     14 t7
     14 pq_to_pz
     14 o2
     14 mult_le_compat
     14 lt_true_upto
     14 gf2_id
     14 f_equal
     14 decoder
     14 context
     14 Z_of_nat
     14 T2toT
     14 OpAdd
     14 IHxs
     13 zz
     13 term2
     13 t10
     13 rel_prime_mult_rev_l
     13 odd_S
     13 np
     13 nat_decidable
     13 mult_lt_compat_r
     13 kururu_goedel
     13 intuition
     13 intersectl
     13 injective_sub
     13 e2
     13 constructor
     13 compile
     13 all_suffixes
     13 all_false
     13 Zmult_lt_0_compat
     13 Zeven_odd_dec
     13 TtoT4
     13 T7
     13 T4toT
     13 IHAs
     13 HPA
     13 Fib
     13 Expr
     13 1000
     12 zerop
     12 type
     12 t01
     12 sqrt_2
     12 rwc
     12 reg_t
     12 plus_assoc
     12 plus_0_r
     12 empty
     12 dependent
     12 callcc
     12 Ti53
     12 Ti33
     12 R_ack
     12 MoCo7
     12 HH
     12 HC
     12 Gus
     12 90
     11 xm
     11 wf
     11 union
     11 t11
     11 subst
     11 skip
     11 pq_to_pz_ex
     11 npair
     11 mult_0_r
     11 lt_irrefl
     11 get_r
     11 f3
     11 even_function
     11 edestruct
     11 cons
     11 ascii_dec
     11 Zodd
     11 Zneg
     11 Zmult_reg_r
     11 Variable
     11 TtoT5
     11 Ti5
     11 Ti3
     11 T5toT
     11 Sum_of_nat
     11 LPO_ICD
     11 HI
     11 Finalmat
     11 Coq
     11 Add
     11 Acc_intro
     11 Acc
     10 zs
     10 yy
     10 w
     10 tree_height_ind
     10 transitivity
     10 string
     10 ranha
     10 prime_dec
     10 pow_unfold
     10 pow_ge_1
     10 polyMult
     10 pair_lt
     10 p1t
     10 p0t
     10 o1
     10 mult_le_compat_l
     10 map_map
     10 lt_le_trans
     10 lt_first
     10 lt_O_Sn
     10 hx
     10 fouine
     10 fibpair
     10 exist
     10 e1
     10 compose
     10 complete
     10 Y2
     10 Wf_nat
     10 Section
     10 Pigeon_Hole_Principle
     10 PI
     10 OpVar
     10 OpConst
     10 IHx
     10 IHl
     10 HeqCMP
     10 Ha
     10 HX2
     10 End
     10 Defined
      9 tails
      9 sum_app
      9 sq2
      9 sq1
      9 polyPlus
      9 nat_rec
      9 mult_plus_distr_r
      9 map_app
      9 le_n_O_eq
      9 l1
      9 intersect_comm
      9 ii
      9 goal
      9 get_l
      9 from
      9 fix
      9 first_false
      9 fib_collect
      9 even_pos
      9 even_O
      9 eval
      9 encoder
      9 divergent
      9 decP
      9 compiler
      9 bb
      9 ack
      9 Zwf
      9 Zsucc
      9 Zmult_lt_0_reg_r
      9 Z_mod_mult
      9 TtoT6
      9 TiA
      9 Ti8
      9 Ti51
      9 Ti50
      9 T6toT
      9 M2T
      9 INR
      9 IHys
      9 Hn
      9 HZPos
      9 HYPos
      9 HX
      9 HRelPrimeYYZZ
      9 HR0
      9 Div2
      8 z0
      8 y0
      8 xpref
      8 xO
      8 xI
      8 x3
      8 well_def
      8 t51
      8 t50
      8 t00
      8 so
      8 s0
      8 prZ
      8 pn
      8 p1h
      8 p0h
      8 n1
      8 mult_is_O
      8 mult_S_le_reg_l
      8 mult
      8 lt_n_Sn
      8 le_antisym
      8 jy
      8 is_suffix
      8 is
      8 intersectl2
      8 injection
      8 idtac
      8 even_S
      8 eauto
      8 ds
      8 div2_double
      8 case_eq
      8 bounded
      8 app_comm_cons
      8 app_ass
      8 aBound
      8 Zsqrt_square_id
      8 Zplus_mod
      8 Zabs_pos
      8 XAB
      8 TiA0
      8 Ti80
      8 Reals
      8 R_scope
      8 NNPP
      8 Mf
      8 Le
      8 ICD_LPO
      8 Hypothesis
      8 Hhyd
      8 HeqY
      8 HX1
      8 HX0
      8 HEvenX
      8 HDE
      8 Ackermann_Function_Exists
      8 7
      7 xsd
      7 xp
      7 wpp
      7 well_founded
      7 trfib
      7 tmp2
      7 tmiya
      7 t30
      7 sn
      7 rel_prime_mult
      7 reg2_m
      7 reg1_m
      7 prove_sup
      7 proj2
      7 proj1
      7 pow_mono
      7 perfect_square_dec
      7 pattern
      7 odd
      7 mult_succ_r
      7 mn
      7 le_lt_trans
      7 le_lt_eq_dec
      7 jx
      7 gf_id
      7 fg_id
      7 factor
      7 f1
      7 elimtype
      7 double_gt_O
      7 decn
      7 cardauto3
      7 Zsqrt_plain
      7 Znumtheory
      7 Zmult_lt_compat
      7 Zmult_integral
      7 Zlt_lower_bound_ind
      7 Z_lt_le_dec
      7 Ti83
      7 Ti82
      7 Ti52
      7 Ti4
      7 Ti32
      7 Ti31
      7 Ti30
      7 Since
      7 R
      7 P_of_succ_nat
      7 IHe2
      7 IHe1
      7 Hz
      7 Hhzd
      7 HXPos
      7 HX3
      7 HB1S
      7 HB0
      7 H9
      7 FibSSn
      7 Fib1
      7 Fib0
      7 EmptyString
      7 Collatz_1000
      7 CollatzOne
      7 CollatzOdd
      7 CollatzEven
      7 256
      6 xx
      6 xH
      6 vars
      6 ts
      6 tran
      6 tmp
      6 tg_alt
      6 t31
      6 t111
      6 t110
      6 sumdec
      6 sigmas
      6 sa
      6 s2
      6 s1
      6 pt
      6 pq_to_pz_impl
      6 polyPow
      6 polyCalcS
      6 plus_comm
      6 option
      6 nats
      6 nat_of_P_plus_morphism
      6 n2
      6 mult_0_l
      6 lt_wf_ind
      6 lt_ne
      6 lt_n_Sm_le
      6 lt_n_O
      6 lt
      6 le_lt_or_eq
      6 l2
      6 is_prime
      6 incr
      6 gZA
      6 gA8
      6 g85
      6 g53
      6 g30
      6 fib_collect_aux
      6 factor2
      6 fAZ
      6 f8A
      6 f58
      6 f35
      6 f03
      6 ex_intro
      6 even_or_odd
      6 even_n
      6 even_mult_l
      6 esum
      6 eq1
      6 double_even
      6 cosum
      6 conj
      6 complement
      6 col
      6 classic
      6 cc
      6 beq_aux
      6 app_eq_nil
      6 Zodd_ex
      6 Zmult_opp_opp
      6 Zmult_le_compat
      6 Zmult_comm
      6 Zdivide_1
      6 Zabs_square
      6 Zabs_nat
      6 Var
      6 Ti70
      6 Ti7
      6 Qmake
      6 Pplus_minus
      6 Pmult_comm
      6 PPM
      6 M91_term
      6 L2
      6 Hsuf
      6 Hin
      6 Heqn
      6 HeqX
      6 HeqD
      6 HeqC
      6 Hc
      6 H10
      6 FLT_of_n
      6 EqSt
      6 Const
      6 CMP
      5 z_to_q
      5 vm_compute
      5 t21
      5 t0_2
      5 scanl
      5 rel_prime_bezout
      5 reg3_m
      5 red
      5 q_to_z
      5 ps_intro
      5 prove_lt_IZR
      5 prZ3
      5 pp_inj_tri
      5 pp
      5 plus_le_compat
      5 ph
      5 p_exp
      5 of
      5 notogawa
      5 not
      5 nn
      5 nat_of_ascii
      5 mult_le_compat_r
      5 mult_assoc_reverse
      5 mult_1_l
      5 msk
      5 max
      5 m0
      5 lt_wf_double_ind
      5 lt_S_n
      5 loop_sub_iter
      5 lem12
      5 lem10
      5 lem1
      5 le_n_Sn
      5 le_O_n
      5 lazy
      5 kozima
      5 it
      5 inj_S
      5 in_cons
      5 hb
      5 has_lt_irrefl
      5 ha
      5 gt100
      5 for
      5 first_false_ne_inv
      5 field_simplify
      5 f2Impl
      5 even_double
      5 equality
      5 eqq
      5 emit_code
      5 double_mult
      5 decide
      5 convergent
      5 com
      5 coll_gen
      5 atails
      5 ascii
      5 Zmult_lt_compat_r
      5 Zmult_le_0_compat
      5 Zeven
      5 Zabs_Zopp
      5 Z_zerop
      5 Z_dec
      5 ZL4
      5 Tri
      5 TiA3
      5 TiA2
      5 TiA1
      5 Ti81
      5 Ti40
      5 Ti1
      5 T_T7
      5 Streams
      5 Str_nth_S
      5 Ring
      5 Pcompare_antisym
      5 PI_tg
      5 PIE3
      5 OgieKako
      5 OAs
      5 NM
      5 Lists
      5 Induction
      5 IHt2
      5 IHp0
      5 IHk
      5 Hhz
      5 Hd
      5 HS0
      5 HOddZ
      5 HEvenZ
      5 HDPos
      5 Function
      5 CompOpp
      5 Bool
      5 Ascii
      4 yoshihiro503
      4 y_nz_const
      4 vBound
      4 uu
      4 us
      4 union_assoc
      4 trailing_zeros_mult
      4 trailing_zeros_equation
      4 tmiya_
      4 the
      4 t61
      4 t60
      4 t41
      4 t40
      4 t20
      4 square_equiv
      4 sqpos
      4 skip_inv
      4 sb
      4 s3
      4 rename
      4 reals_sample
      4 psubz
      4 prop_prime_dec
      4 proj1_sig
      4 prod_prop
      4 prime_mult
      4 prime_factor
      4 prZ3em
      4 prZ2
      4 pqpz_extract
      4 pqpz_destruct
      4 powzero
      4 powmul_a
      4 pow_mon
      4 plus_le_compat_l
      4 plus
      4 pl
      4 pa
      4 ok
      4 odd_even_plus
      4 obj
      4 new_ys_tail
      4 natlike_ind
      4 nat_of_P_o_P_of_succ_nat_eq_succ
      4 mult_succ_l
      4 mult_1_r
      4 main
      4 lt_div2
      4 lt_S_dec
      4 lem
      4 le_ind
      4 le_gt_dec
      4 le_S_n
      4 into
      4 intersect_empty_r
      4 induction_ltof1
      4 in_eq
      4 iaf_O_or_plus
      4 golf
      4 garriguejej
      4 g7
      4 g6
      4 g5
      4 g4
      4 g3
      4 find
      4 f_dec
      4 f7
      4 f6
      4 f5
      4 f4
      4 ex_take
      4 even_even_plus
      4 eq2
      4 eq
      4 eo
      4 embzn
      4 double_mult2
      4 double_S
      4 dive
      4 destruct_square
      4 dec_ind
      4 dd
      4 conv
      4 coll_raw
      4 break
      4 bezout_rel_prime
      4 autocol
      4 ascii_of_nat
      4 ab
      4 _is_y
      4 Zwf_up
      4 Zpower_mul_dist
      4 Zpos_plus_distr
      4 Zplus_0_r
      4 Zmult_lt_compat_l
      4 Zlt_neg_0
      4 Zle_or_lt
      4 Zle_lt_trans
      4 Zle_ge
      4 Zgt_pos_0
      4 Zge_le
      4 Zgcd
      4 Zdiv_eucl
      4 XD
      4 Ti43
      4 Ti42
      4 Ti41
      4 Ti2
      4 T2toT_
      4 SumOdd_Is_Square
      4 Stream
      4 Str_nth_map
      4 Str_nth_O
      4 Square_lemma
      4 S_last_false_inv
      4 Rlt_gt
      4 Recdef
      4 P_all_k
      4 PI_ineq
      4 PI_RGT_3_05
      4 PF
      4 O_or_S
      4 Morphism
      4 Mat
      4 M_ind1
      4 L1
      4 IHs
      4 IHCs0
      4 HysTail
      4 Hsuf0
      4 HinShort
      4 Hi
      4 Hhy
      4 Heqa
      4 HeqB
      4 HRelPrimeXY
      4 HQ
      4 HLPO
      4 HICD
      4 HH2
      4 HEvenY
      4 HDivY
      4 HDivX
      4 HBEven2
      4 H11
      4 Finite_Cantor_Bernstein_Schroeder
      4 Check
      4 Ascii8
      4 0as
      3 y_incr_z
      3 xy
      3 wp
      3 well_founded_ind
      3 we
      3 union_total_l
      3 u2
      3 u1
      3 trailing_zeros_2n
      3 tmp8
      3 tmp5
      3 tmp4
      3 tailsF
      3 t0_1
      3 surj_lemma
      3 struct
      3 stackmachine_app
      3 ss
      3 square_is_O
      3 sql2
      3 sql0
      3 smaller
      3 skip_id
      3 sigma
      3 rel_prime_sym_iff
      3 rel_prime_square_iff_l
      3 r1
      3 pzn
      3 pz_pq_id
      3 proved
      3 pq_pz_id
      3 pp4
      3 powpow
      3 pow_mono_strict
      3 pow_hom
      3 pow2_lt_O
      3 polyMultCons
      3 plus_lt_compat_l
      3 plus_le_compat_r
      3 plt_lt
      3 p_p2n1
      3 p_fin_prod2
      3 os
      3 odds
      3 odd_prime_ge_3
      3 odd_mult
      3 o0
      3 ntheq_eqst
      3 nth_from
      3 not_lt_and_le
      3 not_gt
      3 not_ge
      3 nat_of_P_mult_morphism
      3 nat_of_P_inj
      3 mult_pow
      3 mult_is_O_r
      3 minus
      3 m2p
      3 ltof
      3 lt_trans
      3 lt_not_le
      3 lt_le_S
      3 lt_first_prop
      3 lt_first_inv
      3 lt_eq_lt_dec
      3 loop_sub
      3 loop_h
      3 loopK
      3 log2
      3 lh
      3 lem8
      3 lem7
      3 lem4
      3 lem3
      3 lem2
      3 lem11
      3 le_refl
      3 le_plus_r
      3 le_plus_l
      3 le_n_S
      3 le_aux
      3 le100_rec
      3 kt3k
      3 kg6y_ucd
      3 intersect_union_distr_r
      3 intersect_total_l
      3 intersect_empty_l
      3 inj_le
      3 inc_s
      3 inc
      3 iaf_stay
      3 iaf_is_O
      3 hy2
      3 hs
      3 have
      3 h_inv
      3 h_id
      3 guess
      3 generalNats
      3 gen_prop
      3 g75
      3 g43
      3 g10
      3 f57
      3 f34
      3 f01
      3 even_square
      3 even_mult_aux
      3 even_2n
      3 even_2
      3 eq_Finalmat
      3 elt
      3 double_elim
      3 dom_le_rng
      3 decoder_neq
      3 decoder_eq
      3 d_even
      3 constructive_indefinite_description_nat
      3 compile2
      3 cols
      3 ce
      3 cardauto2
      3 card_empty
      3 bool
      3 beq
      3 base_prop
      3 aux
      3 autof
      3 app_nil_end
      3 app
      3 andb_prop
      3 acc
      3 Ztrichotomy
      3 Zpower_exp
      3 Zplus_eq_compat
      3 Zodd_mult_Zodd
      3 Zmult_plus_distr_r
      3 Zmult_le_compat_r
      3 Zmult_le_compat_l
      3 Zmult_integral_l
      3 Zmult_1_l
      3 Zmult_0_r
      3 Zle_lt_or_eq
      3 Zeven_mult_Zeven_l
      3 Zdivide_trans
      3 Zdivide_refl
      3 Zdivide_factor_l
      3 Zabs_Zmult
      3 Z_lt_ge_dec
      3 ZNP
      3 Z3
      3 Z0
      3 W1
      3 Utf8
      3 Ti72
      3 Ti71
      3 Ti11
      3 Ti10
      3 Sumbool
      3 Str_nth_tl
      3 Sql1
      3 Some_surj
      3 S_last_false_lt_S_n_inv
      3 S_last_false_increasing
      3 S_all
      3 Rsqr
      3 Rplus_0_l
      3 Rmult_lt_reg_l
      3 Rmult_assoc
      3 Rlt_le_trans
      3 Rlt_0_1
      3 Rinv_r
      3 Rinv_0_lt_compat
      3 R_ack_inj
      3 R_ack_S_S
      3 R_ack_S_O
      3 Pplus_comm
      3 Pplus
      3 Pn
      3 Pminus
      3 PMP
      3 PIE
      3 Mult
      3 Mn_n
      3 Mn_cont
      3 M_ind2
      3 M91_mono
      3 M91_Lt
      3 M91
      3 L0
      3 Injective_Le
      3 IHt0_2
      3 IHp1
      3 IHo1
      3 IHn1
      3 IHn0
      3 IHb
      3 IH
      3 Hp
      3 Hhyp1
      3 Hhyp
      3 HeqA
      3 HZPosOrZero
      3 HYYPos
      3 HRelPrimeYZ
      3 HRP
      3 HPosX
      3 HOddY
      3 HModA
      3 HI2
      3 HDiv2
      3 HDiv1
      3 HB4
      3 HB3
      3 Gt
      3 FLTred_div
      3 F
      3 Cs0
      3 ConstructiveEpsilon
      3 Cons
      3 ColS
      3 Ack1
      3 9
      3 3intro
      2 zup
      2 z3
      2 z2
      2 ys_tail
      2 yokoyama
      2 y_nz_P
      2 ySn_zero_Pn
      2 x_is_one
      2 x_is_odd
      2 x_is_nonneg
      2 x_is_even
      2 wf_proof
      2 wf_is_wf
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