X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fmultiple%2Flleq_lleq.ma;h=630b41a32faba1324d0efc27fe1791d6f6636af9;hb=c60524dec7ace912c416a90d6b926bee8553250b;hp=d07e13fce79796a39fe68966d16160d7e64a8f57;hpb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/lleq_lleq.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/lleq_lleq.ma index d07e13fce..630b41a32 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/multiple/lleq_lleq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/lleq_lleq.ma @@ -18,22 +18,22 @@ include "basic_2/multiple/lleq_drop.ma". (* Main properties **********************************************************) -theorem lleq_trans: ∀d,T. Transitive … (lleq d T). +theorem lleq_trans: ∀l,T. Transitive … (lleq l T). /2 width=3 by lleq_llpx_sn_trans/ qed-. -theorem lleq_canc_sn: ∀L,L1,L2,T,d. L ≡[d, T] L1→ L ≡[d, T] L2 → L1 ≡[d, T] L2. +theorem lleq_canc_sn: ∀L,L1,L2,T,l. L ≡[l, T] L1→ L ≡[l, T] L2 → L1 ≡[l, T] L2. /3 width=3 by lleq_trans, lleq_sym/ qed-. -theorem lleq_canc_dx: ∀L1,L2,L,T,d. L1 ≡[d, T] L → L2 ≡[d, T] L → L1 ≡[d, T] L2. +theorem lleq_canc_dx: ∀L1,L2,L,T,l. L1 ≡[l, T] L → L2 ≡[l, T] L → L1 ≡[l, T] L2. /3 width=3 by lleq_trans, lleq_sym/ qed-. (* Advanced properies on negated lazy equivalence *****************************) (* Note: for use in auto, works with /4 width=8/ so lleq_canc_sn is preferred *) -lemma lleq_nlleq_trans: ∀d,T,L1,L. L1 ≡[T, d] L → - ∀L2. (L ≡[T, d] L2 → ⊥) → (L1 ≡[T, d] L2 → ⊥). +lemma lleq_nlleq_trans: ∀l,T,L1,L. L1 ≡[T, l] L → + ∀L2. (L ≡[T, l] L2 → ⊥) → (L1 ≡[T, l] L2 → ⊥). /3 width=3 by lleq_canc_sn/ qed-. -lemma nlleq_lleq_div: ∀d,T,L2,L. L2 ≡[T, d] L → - ∀L1. (L1 ≡[T, d] L → ⊥) → (L1 ≡[T, d] L2 → ⊥). +lemma nlleq_lleq_div: ∀l,T,L2,L. L2 ≡[T, l] L → + ∀L1. (L1 ≡[T, l] L → ⊥) → (L1 ≡[T, l] L2 → ⊥). /3 width=3 by lleq_trans/ qed-.