From 56566861dd6e1dcb183dd1fa6e5dac758555ca48 Mon Sep 17 00:00:00 2001 From: Enrico Tassi Date: Tue, 1 Dec 2009 23:09:26 +0000 Subject: [PATCH] ... --- helm/software/matita/tests/ng_auto.ma | 23 +++++++++++++++++++++-- 1 file changed, 21 insertions(+), 2 deletions(-) diff --git a/helm/software/matita/tests/ng_auto.ma b/helm/software/matita/tests/ng_auto.ma index 2438c5470..6ba8d3da4 100644 --- a/helm/software/matita/tests/ng_auto.ma +++ b/helm/software/matita/tests/ng_auto.ma @@ -48,5 +48,24 @@ naxiom A : CProp[0]. naxiom pA : A. nlemma baz : ∀P,Q:CProp[0].(A → P) → (And A P → Q) → Q. -nauto depth=4; -nqed. \ No newline at end of file +nauto depth=3; +nqed. + +nlemma traz: + ∀T:Type[0]. + ∀And: CProp[0] → CProp[0] → CProp[0] → CProp[0]. + ∀And_elim : ∀a,b,c.a → b → c → And a b c. + ∀C: T → T → T → CProp[0]. + ∀B: T → T → CProp[0]. + ∀A: T → CProp[0]. + ∀a,b,c:T. + ∀p2:A b. + ∀p1:A a. + ∀p3:B a b. + ∀p3:B b b. + ∀p4:B b a. + ∀p3:B a a. + ∀p5:C a a a. + (λx,y,z:T.And (A x) (B x y) (C x y z)) ???. +##[ #T; #And; #And_intro; #A; #B; #C; #a; #b; #p1; #p2; #p3; #p4; #p5; + #p6; #p7; nauto; \ No newline at end of file -- 2.39.2