X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Fseq.ma;h=60830fa46b9772a30102d5afa67f777ea035da24;hp=dcfbb03239b2981ddf9edc9fcd61c3cfd5a1b1ab;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/seq.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/seq.ma index dcfbb0323..60830fa46 100644 --- a/matita/matita/contribs/lambdadelta/static_2/relocation/seq.ma +++ b/matita/matita/contribs/lambdadelta/static_2/relocation/seq.ma @@ -52,16 +52,16 @@ lemma seq_inv_atom1: ∀f,Y. ⋆ ≡[f] Y → Y = ⋆. /2 width=4 by sex_inv_atom1/ qed-. (* Basic_2A1: includes: lreq_inv_pair1 *) -lemma seq_inv_next1: ∀g,J,K1,Y. K1.ⓘ{J} ≡[↑g] Y → - ∃∃K2. K1 ≡[g] K2 & Y = K2.ⓘ{J}. +lemma seq_inv_next1: ∀g,J,K1,Y. K1.ⓘ[J] ≡[↑g] Y → + ∃∃K2. K1 ≡[g] K2 & Y = K2.ⓘ[J]. #g #J #K1 #Y #H elim (sex_inv_next1 … H) -H #Z #K2 #HK12 #H1 #H2 destruct <(ceq_ext_inv_eq … H1) -Z /2 width=3 by ex2_intro/ qed-. (* Basic_2A1: includes: lreq_inv_zero1 lreq_inv_succ1 *) -lemma seq_inv_push1: ∀g,J1,K1,Y. K1.ⓘ{J1} ≡[⫯g] Y → - ∃∃J2,K2. K1 ≡[g] K2 & Y = K2.ⓘ{J2}. +lemma seq_inv_push1: ∀g,J1,K1,Y. K1.ⓘ[J1] ≡[⫯g] Y → + ∃∃J2,K2. K1 ≡[g] K2 & Y = K2.ⓘ[J2]. #g #J1 #K1 #Y #H elim (sex_inv_push1 … H) -H /2 width=4 by ex2_2_intro/ qed-. @@ -70,32 +70,32 @@ lemma seq_inv_atom2: ∀f,X. X ≡[f] ⋆ → X = ⋆. /2 width=4 by sex_inv_atom2/ qed-. (* Basic_2A1: includes: lreq_inv_pair2 *) -lemma seq_inv_next2: ∀g,J,X,K2. X ≡[↑g] K2.ⓘ{J} → - ∃∃K1. K1 ≡[g] K2 & X = K1.ⓘ{J}. +lemma seq_inv_next2: ∀g,J,X,K2. X ≡[↑g] K2.ⓘ[J] → + ∃∃K1. K1 ≡[g] K2 & X = K1.ⓘ[J]. #g #J #X #K2 #H elim (sex_inv_next2 … H) -H #Z #K1 #HK12 #H1 #H2 destruct <(ceq_ext_inv_eq … H1) -J /2 width=3 by ex2_intro/ qed-. (* Basic_2A1: includes: lreq_inv_zero2 lreq_inv_succ2 *) -lemma seq_inv_push2: ∀g,J2,X,K2. X ≡[⫯g] K2.ⓘ{J2} → - ∃∃J1,K1. K1 ≡[g] K2 & X = K1.ⓘ{J1}. +lemma seq_inv_push2: ∀g,J2,X,K2. X ≡[⫯g] K2.ⓘ[J2] → + ∃∃J1,K1. K1 ≡[g] K2 & X = K1.ⓘ[J1]. #g #J2 #X #K2 #H elim (sex_inv_push2 … H) -H /2 width=4 by ex2_2_intro/ qed-. (* Basic_2A1: includes: lreq_inv_pair *) -lemma seq_inv_next: ∀f,I1,I2,L1,L2. L1.ⓘ{I1} ≡[↑f] L2.ⓘ{I2} → +lemma seq_inv_next: ∀f,I1,I2,L1,L2. L1.ⓘ[I1] ≡[↑f] L2.ⓘ[I2] → ∧∧ L1 ≡[f] L2 & I1 = I2. #f #I1 #I2 #L1 #L2 #H elim (sex_inv_next … H) -H /3 width=3 by ceq_ext_inv_eq, conj/ qed-. (* Basic_2A1: includes: lreq_inv_succ *) -lemma seq_inv_push: ∀f,I1,I2,L1,L2. L1.ⓘ{I1} ≡[⫯f] L2.ⓘ{I2} → L1 ≡[f] L2. +lemma seq_inv_push: ∀f,I1,I2,L1,L2. L1.ⓘ[I1] ≡[⫯f] L2.ⓘ[I2] → L1 ≡[f] L2. #f #I1 #I2 #L1 #L2 #H elim (sex_inv_push … H) -H /2 width=1 by conj/ qed-. -lemma seq_inv_tl: ∀f,I,L1,L2. L1 ≡[⫱f] L2 → L1.ⓘ{I} ≡[f] L2.ⓘ{I}. +lemma seq_inv_tl: ∀f,I,L1,L2. L1 ≡[⫱f] L2 → L1.ⓘ[I] ≡[f] L2.ⓘ[I]. /2 width=1 by sex_inv_tl/ qed-. (* Basic_2A1: removed theorems 5: