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Diffstat (limited to 'contrib/subtac/test/id.v')
-rw-r--r-- | contrib/subtac/test/id.v | 46 |
1 files changed, 0 insertions, 46 deletions
diff --git a/contrib/subtac/test/id.v b/contrib/subtac/test/id.v deleted file mode 100644 index 9ae11088..00000000 --- a/contrib/subtac/test/id.v +++ /dev/null @@ -1,46 +0,0 @@ -Require Coq.Arith.Arith. - -Require Import Coq.subtac.Utils. -Program Fixpoint id (n : nat) : { x : nat | x = n } := - match n with - | O => O - | S p => S (id p) - end. -intros ; auto. - -pose (subset_simpl (id p)). -simpl in e. -unfold p0. -rewrite e. -auto. -Defined. - -Check id. -Print id. -Extraction id. - -Axiom le_gt_dec : forall n m, { n <= m } + { n > m }. -Require Import Omega. - -Program Fixpoint id_if (n : nat) { wf n lt }: { x : nat | x = n } := - if le_gt_dec n 0 then 0 - else S (id_if (pred n)). -intros. -auto with arith. -intros. -pose (subset_simpl (id_if (pred n))). -simpl in e. -rewrite e. -induction n ; auto with arith. -Defined. - -Print id_if_instance. -Extraction id_if_instance. - -Notation "( x & y )" := (@existS _ _ x y) : core_scope. - -Program Definition testsig ( a : nat ) : { x : nat & { y : nat | x = y }} := - (a & a). -intros. -auto. -Qed. |