X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fs_transition%2Ffqu.ma;h=0377df1a1af7d2e76d36b7090547b62a220283cb;hp=85ddd67c76ce265aaf40ea9e0f971a1fbae6dd84;hb=222044da28742b24584549ba86b1805a87def070;hpb=75f395f0febd02de8e0f881d918a8812b1425c8d diff --git a/matita/matita/contribs/lambdadelta/basic_2/s_transition/fqu.ma b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fqu.ma index 85ddd67c7..0377df1a1 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/s_transition/fqu.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fqu.ma @@ -47,7 +47,7 @@ interpretation lemma fqu_sort: ∀b,I,G,L,s. ⦃G, L.ⓘ{I}, ⋆s⦄ ⊐[b] ⦃G, L, ⋆s⦄. /2 width=1 by fqu_drop/ qed. -lemma fqu_lref_S: ∀b,I,G,L,i. ⦃G, L.ⓘ{I}, #⫯i⦄ ⊐[b] ⦃G, L, #i⦄. +lemma fqu_lref_S: ∀b,I,G,L,i. ⦃G, L.ⓘ{I}, #↑i⦄ ⊐[b] ⦃G, L, #i⦄. /2 width=1 by fqu_drop/ qed. lemma fqu_gref: ∀b,I,G,L,l. ⦃G, L.ⓘ{I}, §l⦄ ⊐[b] ⦃G, L, §l⦄. @@ -76,7 +76,7 @@ lemma fqu_inv_sort1: ∀b,G1,G2,L1,L2,T2,s. ⦃G1, L1, ⋆s⦄ ⊐[b] ⦃G2, L2, fact fqu_inv_lref1_aux: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ → ∀i. T1 = #i → (∃∃J,V. G1 = G2 & L1 = L2.ⓑ{J}V & T2 = V & i = 0) ∨ - ∃∃J,j. G1 = G2 & L1 = L2.ⓘ{J} & T2 = #j & i = ⫯j. + ∃∃J,j. G1 = G2 & L1 = L2.ⓘ{J} & T2 = #j & i = ↑j. #b #G1 #G2 #L1 #L2 #T1 #T2 * -G1 -G2 -L1 -L2 -T1 -T2 [ #I #G #L #T #i #H destruct /3 width=4 by ex4_2_intro, or_introl/ | #I #G #L #V #T #i #H destruct @@ -90,7 +90,7 @@ qed-. lemma fqu_inv_lref1: ∀b,G1,G2,L1,L2,T2,i. ⦃G1, L1, #i⦄ ⊐[b] ⦃G2, L2, T2⦄ → (∃∃J,V. G1 = G2 & L1 = L2.ⓑ{J}V & T2 = V & i = 0) ∨ - ∃∃J,j. G1 = G2 & L1 = L2.ⓘ{J} & T2 = #j & i = ⫯j. + ∃∃J,j. G1 = G2 & L1 = L2.ⓘ{J} & T2 = #j & i = ↑j. /2 width=4 by fqu_inv_lref1_aux/ qed-. fact fqu_inv_gref1_aux: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ → @@ -184,7 +184,7 @@ lemma fqu_inv_zero1_pair: ∀b,I,G1,G2,K,L2,V,T2. ⦃G1, K.ⓑ{I}V, #0⦄ ⊐[b] #Z #X #H1 #H2 #H3 #H4 destruct /2 width=1 by and3_intro/ qed-. -lemma fqu_inv_lref1_bind: ∀b,I,G1,G2,K,L2,T2,i. ⦃G1, K.ⓘ{I}, #(⫯i)⦄ ⊐[b] ⦃G2, L2, T2⦄ → +lemma fqu_inv_lref1_bind: ∀b,I,G1,G2,K,L2,T2,i. ⦃G1, K.ⓘ{I}, #(↑i)⦄ ⊐[b] ⦃G2, L2, T2⦄ → ∧∧ G1 = G2 & L2 = K & T2 = #i. #b #I #G1 #G2 #K #L2 #T2 #i #H elim (fqu_inv_lref1 … H) -H * #Z #X #H1 #H2 #H3 #H4 destruct /2 width=1 by and3_intro/