From f1977440576f1385c0987e635dedbd874ad92d9c Mon Sep 17 00:00:00 2001 From: Claudio Sacerdoti Coen Date: Sat, 3 Jan 2009 18:03:33 +0000 Subject: [PATCH] Much, much nicer now. --- .../overlap/o-basic_topologies.ma | 17 +++++++---------- 1 file changed, 7 insertions(+), 10 deletions(-) diff --git a/helm/software/matita/contribs/formal_topology/overlap/o-basic_topologies.ma b/helm/software/matita/contribs/formal_topology/overlap/o-basic_topologies.ma index 20923337e..640a936ee 100644 --- a/helm/software/matita/contribs/formal_topology/overlap/o-basic_topologies.ma +++ b/helm/software/matita/contribs/formal_topology/overlap/o-basic_topologies.ma @@ -157,19 +157,16 @@ definition BTop: category2. change in e1 with (b⎻* ∘ A o2 = b'⎻* ∘ A o2); apply (.= e‡#); intro x; - change with (eq1 o3 (b⎻* (a'⎻* (A o1 x))) (b'⎻*(a'⎻* (A o1 x)))); - lapply (saturated o1 o2 a' (A o1 x):?) as X; - [ apply ((saturation_idempotent ?? (A_is_saturation o1) x)^-1) ] - change in X with (eq1 ? (a'⎻* (A o1 x)) (A o2 (a'⎻* (A o1 x)))); + change with (b⎻* (a'⎻* (A o1 x)) = b'⎻*(a'⎻* (A o1 x))); alias symbol "trans" = "trans1". alias symbol "prop1" = "prop11". - apply (.= †X); - whd in e1; - lapply (e1 (a'⎻* (A o1 x))) as X1; - change in X1 with (eq1 (oa_P (carrbt o3)) (b⎻* (A o2 (a'⎻* (A o1 x)))) (b'⎻* (A o2 (a' \sup ⎻* (A o1 x))))); - apply (.= X1); + apply (.= †(saturated o1 o2 a' (A o1 x) : ?)); + [ apply ((saturation_idempotent ?? (A_is_saturation o1) x)^-1); ] + change in e1 with (∀x.b⎻* (A o2 x) = b'⎻* (A o2 x)); + apply (.= (e1 (a'⎻* (A o1 x)))); alias symbol "invert" = "setoid1 symmetry". - apply (†(X\sup -1));] + apply (†((saturated ?? a' (A o1 x) : ?) ^ -1)); + apply ((saturation_idempotent ?? (A_is_saturation o1) x)^-1);] | intros; simplify; change with (((a34⎻* ∘ a23⎻* ) ∘ a12⎻* ) ∘ A o1 = ((a34⎻* ∘ (a23⎻* ∘ a12⎻* )) ∘ A o1)); apply rule (#‡ASSOC1\sup -1); -- 2.39.2