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September 20, 2016 02:57
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| Lemma monotone_operator_w : forall k, Fixpoints.mon (W k). | |
| Proof. | |
| intros k. unfold Fixpoints.mon. intros p1 p2 H. | |
| unfold W. unfold Fixpoints.pred_subset in *. | |
| intros a H1. apply andb_true_iff in H1. | |
| apply andb_true_iff. destruct H1 as [H2 H3]. | |
| split. assumption. unfold mp in *. | |
| apply forallb_forall. | |
| Goal: | |
| k : nat | |
| p1, p2 : Fixpoints.pred (cand * cand) | |
| H : forall a : cand * cand, p1 a = true -> p2 a = true | |
| a : cand * cand | |
| H2 : el k a = true | |
| H3 : forallb (mpf k a p1) cand_all = true | |
| ============================ | |
| forall x : cand, In x cand_all -> mpf k a p2 x = true | |
| When I am applying forallb_for in H3, I am getting Error: Statement without assumptions. | |
| https://github.com/mukeshtiwari/formalized-voting/blob/master/Schulze_Dirk.v#L356 |
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Using specialize (forallb_forall _ cand_all H3).
I am getting Error: Illegal application (Non-functional construction):
The expression "forallb_forall ?b cand_all" of type
"forallb ?b cand_all = true <-> (forall x : cand, In x cand_all -> ?b x = true)"
cannot be applied to the term
"H3" : "forallb (mpf k a p1) cand_all = true"