X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpx_drops.ma;h=6ad56889f432b552f84bdbcd53517a15dac0e3c1;hp=1770f426318beb07b9b7f66778836805531b6fce;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_drops.ma index 1770f4263..6ad56889f 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_drops.ma @@ -22,8 +22,8 @@ include "basic_2/rt_transition/cpx.ma". (* Basic_2A1: was: cpx_delta *) lemma cpx_delta_drops: ∀h,I,G,L,K,V,V2,W2,i. - ⇩*[i] L ≘ K.ⓑ{I}V → ⦃G,K⦄ ⊢ V ⬈[h] V2 → - ⇧*[↑i] V2 ≘ W2 → ⦃G,L⦄ ⊢ #i ⬈[h] W2. + ⇩*[i] L ≘ K.ⓑ[I]V → ❪G,K❫ ⊢ V ⬈[h] V2 → + ⇧*[↑i] V2 ≘ W2 → ❪G,L❫ ⊢ #i ⬈[h] W2. #h * #G #L #K #V #V2 #W2 #i #HLK * /3 width=7 by cpg_ell_drops, cpg_delta_drops, ex_intro/ qed. @@ -31,19 +31,19 @@ qed. (* Advanced inversion lemmas ************************************************) (* Basic_2A1: was: cpx_inv_atom1 *) -lemma cpx_inv_atom1_drops: ∀h,I,G,L,T2. ⦃G,L⦄ ⊢ ⓪{I} ⬈[h] T2 → - ∨∨ T2 = ⓪{I} +lemma cpx_inv_atom1_drops: ∀h,I,G,L,T2. ❪G,L❫ ⊢ ⓪[I] ⬈[h] T2 → + ∨∨ T2 = ⓪[I] | ∃∃s. T2 = ⋆(⫯[h]s) & I = Sort s - | ∃∃J,K,V,V2,i. ⇩*[i] L ≘ K.ⓑ{J}V & ⦃G,K⦄ ⊢ V ⬈[h] V2 & + | ∃∃J,K,V,V2,i. ⇩*[i] L ≘ K.ⓑ[J]V & ❪G,K❫ ⊢ V ⬈[h] V2 & ⇧*[↑i] V2 ≘ T2 & I = LRef i. #h #I #G #L #T2 * #c #H elim (cpg_inv_atom1_drops … H) -H * /4 width=9 by or3_intro0, or3_intro1, or3_intro2, ex4_5_intro, ex2_intro, ex_intro/ qed-. (* Basic_2A1: was: cpx_inv_lref1 *) -lemma cpx_inv_lref1_drops: ∀h,G,L,T2,i. ⦃G,L⦄ ⊢ #i ⬈[h] T2 → +lemma cpx_inv_lref1_drops: ∀h,G,L,T2,i. ❪G,L❫ ⊢ #i ⬈[h] T2 → T2 = #i ∨ - ∃∃J,K,V,V2. ⇩*[i] L ≘ K. ⓑ{J}V & ⦃G,K⦄ ⊢ V ⬈[h] V2 & + ∃∃J,K,V,V2. ⇩*[i] L ≘ K. ⓑ[J]V & ❪G,K❫ ⊢ V ⬈[h] V2 & ⇧*[↑i] V2 ≘ T2. #h #G #L #T1 #i * #c #H elim (cpg_inv_lref1_drops … H) -H * /4 width=7 by ex3_4_intro, ex_intro, or_introl, or_intror/