X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpm_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpm_drops.ma;h=3d465a9507de343ed672fd582b026372cf9df141;hb=67fe9cec87e129a2a41c75d7ed8456a6f3314421;hp=bc9463c958390c5a16ec878d6d4b3f5bf6d30fcf;hpb=86861e6f031df66824a381527dfe847029ff72bc;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 bc9463c95..3d465a950 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 @@ -50,15 +50,15 @@ qed-. (* Basic_1: includes: pr2_delta1 *) (* 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] L ≘ K.ⓓV → ⦃G,K⦄ ⊢ V ➡[n,h] V2 → + ⇧*[↑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] L ≘ K.ⓛV → ⦃G,K⦄ ⊢ V ➡[n,h] V2 → + ⇧*[↑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. @@ -68,10 +68,10 @@ qed. 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 = ⋆(⫯[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 - | ∃∃m,K,V,V2,i. ⬇*[i] L ≘ K.ⓛV & ⦃G,K⦄ ⊢ V ➡[m,h] V2 & - ⬆*[↑i] V2 ≘ T2 & I = LRef i & n = ↑m. + | ∃∃K,V,V2,i. ⇩*[i] L ≘ K.ⓓV & ⦃G,K⦄ ⊢ V ➡[n,h] V2 & + ⇧*[↑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. #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/ @@ -87,10 +87,10 @@ 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 - | ∃∃m,K,V,V2. ⬇*[i] L ≘ K. ⓛV & ⦃G,K⦄ ⊢ V ➡[m,h] V2 & - ⬆*[↑i] V2 ≘ T2 & n = ↑m. + | ∃∃K,V,V2. ⇩*[i] L ≘ K.ⓓV & ⦃G,K⦄ ⊢ V ➡[n,h] V2 & + ⇧*[↑i] V2 ≘ T2 + | ∃∃m,K,V,V2. ⇩*[i] L ≘ K. ⓛV & ⦃G,K⦄ ⊢ V ➡[m,h] V2 & + ⇧*[↑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/