Created
June 21, 2014 10:27
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when hypothesis is instantiated, we first generalize the hypothesis
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| Theorem instantiated : | |
| forall m:nat, | |
| m <= 0 -> m = 0. | |
| Proof. | |
| intros. induction H. | |
| - reflexivity. | |
| - subst. Abort. | |
| Theorem generalized : | |
| forall m n, | |
| m <= n -> n = 0 -> m = 0. | |
| Proof. | |
| intros. induction H. | |
| - assumption. | |
| - inversion H0. | |
| Qed. | |
| Theorem lt_0_is_0 : | |
| forall m:nat, | |
| m <= 0 -> m =0. | |
| Proof. | |
| intros. specialize(generalized _ _ H eq_refl). | |
| trivial. | |
| Qed. |
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