From cb89a1eebdd620d7e1c593fa279e74d4c715b8bf Mon Sep 17 00:00:00 2001 From: Enrico Tassi Date: Mon, 26 Nov 2007 10:52:53 +0000 Subject: [PATCH] pretty --- helm/software/matita/dama/valued_lattice.ma | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/helm/software/matita/dama/valued_lattice.ma b/helm/software/matita/dama/valued_lattice.ma index 6ad88424a..165160977 100644 --- a/helm/software/matita/dama/valued_lattice.ma +++ b/helm/software/matita/dama/valued_lattice.ma @@ -90,7 +90,7 @@ qed. lemma modularmj: ∀R.∀L:vlattice R.∀x,y,z:L.μ(x∧(y∨z))≈(μx + μ(y ∨ z) + - μ(x∨(y∨z))). intros (R L x y z); lapply (modular_mjp ?? x (y ∨ z)) as H1; -apply (eq_trans ?? (μ(x∨(y∨z))+ μ(x∧(y∨z)) +-μ(x∨(y∨z)))); [2: apply feq_plusr; apply H1;] clear H1; +apply (eq_trans ?? (μ(x∨(y∨z))+ μ(x∧(y∨z)) +-μ(x∨(y∨z))) ?? (feq_plusr ???? H1)); clear H1; apply (eq_trans ?? ? ?? (plus_comm ???)); apply (eq_trans ?? (- μ(x∨(y∨z))+ μ(x∨(y∨z))+ μ(x∧(y∨z))) ?? (plus_assoc ????)); apply (eq_trans ?? (0+μ(x∧(y∨z))) ?? (opp_inverse ??)); @@ -103,8 +103,8 @@ intros (R L x y z); lapply (modular_mjp ?? x (y ∧ z)) as H1; apply (eq_trans ?? (μ(x∧(y∧z))+ μ(x∨(y∧z)) +-μ(x∧(y∧z)))); [2: apply feq_plusr; apply (eq_trans ???? (plus_comm ???)); apply H1] clear H1; apply (eq_trans ?? ? ?? (plus_comm ???)); -apply (eq_trans ?? (- μ(x∧(y∧z))+ μ(x∧(y∧z))+ μ(x∨y∧z))); [2: apply eq_sym; apply plus_assoc] -apply (eq_trans ?? (0+ μ(x∨y∧z))); [2: apply feq_plusr; apply eq_sym; apply opp_inverse] +apply (eq_trans ?? (- μ(x∧(y∧z))+ μ(x∧(y∧z))+ μ(x∨y∧z)) ?? (plus_assoc ????)); +apply (eq_trans ?? (0+ μ(x∨y∧z)) ?? (opp_inverse ??)); apply eq_sym; apply zero_neutral; qed. -- 2.39.2