X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Flsubc.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Flsubc.ma;h=54c5d47a1d55e146c29f58f4f233a2fdc6aacd17;hb=8ec019202bff90959cf1a7158b309e7f83fa222e;hp=0a5f81c00287b347d33acade529c7e01ad6b267a;hpb=33d0a7a9029859be79b25b5a495e0f30dab11f37;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/static/lsubc.ma b/matita/matita/contribs/lambdadelta/static_2/static/lsubc.ma index 0a5f81c00..54c5d47a1 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/lsubc.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/lsubc.ma @@ -22,7 +22,7 @@ include "static_2/static/gcp_cr.ma". inductive lsubc (RP) (G): relation lenv ≝ | lsubc_atom: lsubc RP G (⋆) (⋆) | lsubc_bind: ∀I,L1,L2. lsubc RP G L1 L2 → lsubc RP G (L1.ⓘ[I]) (L2.ⓘ[I]) -| lsubc_beta: ∀L1,L2,V,W,A. ❪G,L1,V❫ ϵ ⟦A⟧[RP] → ❪G,L1,W❫ ϵ ⟦A⟧[RP] → ❪G,L2❫ ⊢ W ⁝ A → +| lsubc_beta: ∀L1,L2,V,W,A. ❨G,L1,V❩ ϵ ⟦A⟧[RP] → ❨G,L1,W❩ ϵ ⟦A⟧[RP] → ❨G,L2❩ ⊢ W ⁝ A → lsubc RP G L1 L2 → lsubc RP G (L1. ⓓⓝW.V) (L2.ⓛW) . @@ -46,7 +46,7 @@ lemma lsubc_inv_atom1: ∀RP,G,L2. G ⊢ ⋆ ⫃[RP] L2 → L2 = ⋆. fact lsubc_inv_bind1_aux: ∀RP,G,L1,L2. G ⊢ L1 ⫃[RP] L2 → ∀I,K1. L1 = K1.ⓘ[I] → (∃∃K2. G ⊢ K1 ⫃[RP] K2 & L2 = K2.ⓘ[I]) ∨ - ∃∃K2,V,W,A. ❪G,K1,V❫ ϵ ⟦A⟧[RP] & ❪G,K1,W❫ ϵ ⟦A⟧[RP] & ❪G,K2❫ ⊢ W ⁝ A & + ∃∃K2,V,W,A. ❨G,K1,V❩ ϵ ⟦A⟧[RP] & ❨G,K1,W❩ ϵ ⟦A⟧[RP] & ❨G,K2❩ ⊢ W ⁝ A & G ⊢ K1 ⫃[RP] K2 & L2 = K2. ⓛW & I = BPair Abbr (ⓝW.V). #RP #G #L1 #L2 * -L1 -L2 @@ -60,7 +60,7 @@ qed-. (* Basic_1: was: csubc_gen_head_r *) lemma lsubc_inv_bind1: ∀RP,I,G,K1,L2. G ⊢ K1.ⓘ[I] ⫃[RP] L2 → (∃∃K2. G ⊢ K1 ⫃[RP] K2 & L2 = K2.ⓘ[I]) ∨ - ∃∃K2,V,W,A. ❪G,K1,V❫ ϵ ⟦A⟧[RP] & ❪G,K1,W❫ ϵ ⟦A⟧[RP] & ❪G,K2❫ ⊢ W ⁝ A & + ∃∃K2,V,W,A. ❨G,K1,V❩ ϵ ⟦A⟧[RP] & ❨G,K1,W❩ ϵ ⟦A⟧[RP] & ❨G,K2❩ ⊢ W ⁝ A & G ⊢ K1 ⫃[RP] K2 & L2 = K2.ⓛW & I = BPair Abbr (ⓝW.V). /2 width=3 by lsubc_inv_bind1_aux/ qed-. @@ -79,7 +79,7 @@ lemma lsubc_inv_atom2: ∀RP,G,L1. G ⊢ L1 ⫃[RP] ⋆ → L1 = ⋆. fact lsubc_inv_bind2_aux: ∀RP,G,L1,L2. G ⊢ L1 ⫃[RP] L2 → ∀I,K2. L2 = K2.ⓘ[I] → (∃∃K1. G ⊢ K1 ⫃[RP] K2 & L1 = K1. ⓘ[I]) ∨ - ∃∃K1,V,W,A. ❪G,K1,V❫ ϵ ⟦A⟧[RP] & ❪G,K1,W❫ ϵ ⟦A⟧[RP] & ❪G,K2❫ ⊢ W ⁝ A & + ∃∃K1,V,W,A. ❨G,K1,V❩ ϵ ⟦A⟧[RP] & ❨G,K1,W❩ ϵ ⟦A⟧[RP] & ❨G,K2❩ ⊢ W ⁝ A & G ⊢ K1 ⫃[RP] K2 & L1 = K1.ⓓⓝW.V & I = BPair Abst W. #RP #G #L1 #L2 * -L1 -L2 @@ -93,7 +93,7 @@ qed-. (* Basic_1: was just: csubc_gen_head_l *) lemma lsubc_inv_bind2: ∀RP,I,G,L1,K2. G ⊢ L1 ⫃[RP] K2.ⓘ[I] → (∃∃K1. G ⊢ K1 ⫃[RP] K2 & L1 = K1.ⓘ[I]) ∨ - ∃∃K1,V,W,A. ❪G,K1,V❫ ϵ ⟦A⟧[RP] & ❪G,K1,W❫ ϵ ⟦A⟧[RP] & ❪G,K2❫ ⊢ W ⁝ A & + ∃∃K1,V,W,A. ❨G,K1,V❩ ϵ ⟦A⟧[RP] & ❨G,K1,W❩ ϵ ⟦A⟧[RP] & ❨G,K2❩ ⊢ W ⁝ A & G ⊢ K1 ⫃[RP] K2 & L1 = K1.ⓓⓝW.V & I = BPair Abst W. /2 width=3 by lsubc_inv_bind2_aux/ qed-.