X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpm_drops.ma;h=4f04adc8fd0d073fb298f011a9e21f0972914cf0;hb=397413c4196f84c81d61ba7dd79b54ab1c428ebb;hp=cafb6a0e35c9d362ce52d00bd0cef22076c7d04e;hpb=24ba1bb3f67505d3e384747ff90d26d3996bd3f5;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma index cafb6a0e3..4f04adc8f 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_drops.ma @@ -23,14 +23,14 @@ include "basic_2/rt_transition/cpm.ma". (* Basic_2A1: includes: cpr_delta *) lemma cpm_delta_drops: ∀n,h,G,L,K,V,V2,W2,i. ⬇*[i] L ≘ K.ⓓV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 → - ⬆*[⫯i] V2 ≘ W2 → ⦃G, L⦄ ⊢ #i ➡[n, h] W2. + ⬆*[↑i] V2 ≘ W2 → ⦃G, L⦄ ⊢ #i ➡[n, h] W2. #n #h #G #L #K #V #V2 #W2 #i #HLK * /3 width=8 by cpg_delta_drops, ex2_intro/ qed. lemma cpm_ell_drops: ∀n,h,G,L,K,V,V2,W2,i. ⬇*[i] L ≘ K.ⓛV → ⦃G, K⦄ ⊢ V ➡[n, h] V2 → - ⬆*[⫯i] V2 ≘ W2 → ⦃G, L⦄ ⊢ #i ➡[⫯n, h] W2. + ⬆*[↑i] V2 ≘ W2 → ⦃G, L⦄ ⊢ #i ➡[↑n, h] W2. #n #h #G #L #K #V #V2 #W2 #i #HLK * /3 width=8 by cpg_ell_drops, isrt_succ, ex2_intro/ qed. @@ -41,9 +41,9 @@ lemma cpm_inv_atom1_drops: ∀n,h,I,G,L,T2. ⦃G, L⦄ ⊢ ⓪{I} ➡[n, h] T2 ∨∨ T2 = ⓪{I} ∧ n = 0 | ∃∃s. T2 = ⋆(next h s) & I = Sort s & n = 1 | ∃∃K,V,V2,i. ⬇*[i] L ≘ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 & - ⬆*[⫯i] V2 ≘ T2 & I = LRef i + ⬆*[↑i] V2 ≘ T2 & I = LRef i | ∃∃m,K,V,V2,i. ⬇*[i] L ≘ K.ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 & - ⬆*[⫯i] V2 ≘ T2 & I = LRef i & n = ⫯m. + ⬆*[↑i] V2 ≘ T2 & I = LRef i & n = ↑m. #n #h #I #G #L #T2 * #c #Hc #H elim (cpg_inv_atom1_drops … H) -H * [ #H1 #H2 destruct lapply (isrt_inv_00 … Hc) -Hc /3 width=1 by or4_intro0, conj/ @@ -60,9 +60,9 @@ qed-. lemma cpm_inv_lref1_drops: ∀n,h,G,L,T2,i. ⦃G, L⦄ ⊢ #i ➡[n, h] T2 → ∨∨ T2 = #i ∧ n = 0 | ∃∃K,V,V2. ⬇*[i] L ≘ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[n, h] V2 & - ⬆*[⫯i] V2 ≘ T2 + ⬆*[↑i] V2 ≘ T2 | ∃∃m,K,V,V2. ⬇*[i] L ≘ K. ⓛV & ⦃G, K⦄ ⊢ V ➡[m, h] V2 & - ⬆*[⫯i] V2 ≘ T2 & n = ⫯m. + ⬆*[↑i] V2 ≘ T2 & n = ↑m. #n #h #G #L #T2 #i * #c #Hc #H elim (cpg_inv_lref1_drops … H) -H * [ #H1 #H2 destruct lapply (isrt_inv_00 … Hc) -Hc /3 width=1 by or3_intro0, conj/