X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpr_drops.ma;h=afd2d3fda6e7a341cdcbf2407faf3e6d49899f4f;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=714ce2f458f4b5325faf3952d21e3dbbb8f28fde;hpb=747b42f3b9aac5487047f57742f1fcf05b56b57d;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_drops.ma index 714ce2f45..afd2d3fda 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_drops.ma @@ -19,10 +19,10 @@ include "basic_2/rt_transition/cpm_drops.ma". (* Advanced inversion lemmas ************************************************) (* Basic_2A1: includes: cpr_inv_atom1 *) -lemma cpr_inv_atom1_drops: ∀h,I,G,L,T2. ⦃G, L⦄ ⊢ ⓪{I} ➡[h] T2 → +lemma cpr_inv_atom1_drops: ∀h,I,G,L,T2. ⦃G,L⦄ ⊢ ⓪{I} ➡[h] T2 → ∨∨ T2 = ⓪{I} - | ∃∃K,V,V2,i. ⬇*[i] L ≡ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[h] V2 & - ⬆*[⫯i] V2 ≡ T2 & I = LRef i. + | ∃∃K,V,V2,i. ⬇*[i] L ≘ K.ⓓV & ⦃G,K⦄ ⊢ V ➡[h] V2 & + ⬆*[↑i] V2 ≘ T2 & I = LRef i. #h #I #G #L #T2 #H elim (cpm_inv_atom1_drops … H) -H * [ /2 width=1 by or_introl/ | #s #_ #_ #H destruct @@ -33,10 +33,10 @@ qed-. (* Basic_1: includes: pr0_gen_lref pr2_gen_lref *) (* Basic_2A1: includes: cpr_inv_lref1 *) -lemma cpr_inv_lref1_drops: ∀h,G,L,T2,i. ⦃G, L⦄ ⊢ #i ➡[h] T2 → +lemma cpr_inv_lref1_drops: ∀h,G,L,T2,i. ⦃G,L⦄ ⊢ #i ➡[h] T2 → ∨∨ T2 = #i - | ∃∃K,V,V2. ⬇*[i] L ≡ K. ⓓV & ⦃G, K⦄ ⊢ V ➡[h] V2 & - ⬆*[⫯i] V2 ≡ T2. + | ∃∃K,V,V2. ⬇*[i] L ≘ K. ⓓV & ⦃G,K⦄ ⊢ V ➡[h] V2 & + ⬆*[↑i] V2 ≘ T2. #h #G #L #T2 #i #H elim (cpm_inv_lref1_drops … H) -H * [ /2 width=1 by or_introl/ | /3 width=6 by ex3_3_intro, or_intror/