X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Flsubv.ma;h=6f66ec24817684e63480c3a6ed24236f653c1b9b;hb=1b82038aa813e24e84959526e83dd35d849b51f2;hp=50d1bd0e531208f79ce50045ed3c0cd92b8dd656;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma index 50d1bd0e5..6f66ec248 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma @@ -20,7 +20,7 @@ include "basic_2/dynamic/cnv.ma". inductive lsubv (h) (a) (G): relation lenv ≝ | lsubv_atom: lsubv h a G (⋆) (⋆) | lsubv_bind: ∀I,L1,L2. lsubv h a G L1 L2 → lsubv h a G (L1.ⓘ[I]) (L2.ⓘ[I]) -| lsubv_beta: ∀L1,L2,W,V. ❪G,L1❫ ⊢ ⓝW.V ![h,a] → +| lsubv_beta: ∀L1,L2,W,V. ❨G,L1❩ ⊢ ⓝW.V ![h,a] → lsubv h a G L1 L2 → lsubv h a G (L1.ⓓⓝW.V) (L2.ⓛW) . @@ -47,7 +47,7 @@ lemma lsubv_inv_atom_sn (h) (a) (G): fact lsubv_inv_bind_sn_aux (h) (a) (G): ∀L1,L2. G ⊢ L1 ⫃![h,a] L2 → ∀I,K1. L1 = K1.ⓘ[I] → ∨∨ ∃∃K2. G ⊢ K1 ⫃![h,a] K2 & L2 = K2.ⓘ[I] - | ∃∃K2,W,V. ❪G,K1❫ ⊢ ⓝW.V ![h,a] & G ⊢ K1 ⫃![h,a] K2 + | ∃∃K2,W,V. ❨G,K1❩ ⊢ ⓝW.V ![h,a] & G ⊢ K1 ⫃![h,a] K2 & I = BPair Abbr (ⓝW.V) & L2 = K2.ⓛW. #h #a #G #L1 #L2 * -L1 -L2 [ #J #K1 #H destruct @@ -60,7 +60,7 @@ qed-. lemma lsubv_inv_bind_sn (h) (a) (G): ∀I,K1,L2. G ⊢ K1.ⓘ[I] ⫃![h,a] L2 → ∨∨ ∃∃K2. G ⊢ K1 ⫃![h,a] K2 & L2 = K2.ⓘ[I] - | ∃∃K2,W,V. ❪G,K1❫ ⊢ ⓝW.V ![h,a] & G ⊢ K1 ⫃![h,a] K2 + | ∃∃K2,W,V. ❨G,K1❩ ⊢ ⓝW.V ![h,a] & G ⊢ K1 ⫃![h,a] K2 & I = BPair Abbr (ⓝW.V) & L2 = K2.ⓛW. /2 width=3 by lsubv_inv_bind_sn_aux/ qed-. @@ -82,7 +82,7 @@ fact lsubv_inv_bind_dx_aux (h) (a) (G): ∀L1,L2. G ⊢ L1 ⫃![h,a] L2 → ∀I,K2. L2 = K2.ⓘ[I] → ∨∨ ∃∃K1. G ⊢ K1 ⫃![h,a] K2 & L1 = K1.ⓘ[I] - | ∃∃K1,W,V. ❪G,K1❫ ⊢ ⓝW.V ![h,a] & + | ∃∃K1,W,V. ❨G,K1❩ ⊢ ⓝW.V ![h,a] & G ⊢ K1 ⫃![h,a] K2 & I = BPair Abst W & L1 = K1.ⓓⓝW.V. #h #a #G #L1 #L2 * -L1 -L2 [ #J #K2 #H destruct @@ -95,7 +95,7 @@ qed-. lemma lsubv_inv_bind_dx (h) (a) (G): ∀I,L1,K2. G ⊢ L1 ⫃![h,a] K2.ⓘ[I] → ∨∨ ∃∃K1. G ⊢ K1 ⫃![h,a] K2 & L1 = K1.ⓘ[I] - | ∃∃K1,W,V. ❪G,K1❫ ⊢ ⓝW.V ![h,a] & + | ∃∃K1,W,V. ❨G,K1❩ ⊢ ⓝW.V ![h,a] & G ⊢ K1 ⫃![h,a] K2 & I = BPair Abst W & L1 = K1.ⓓⓝW.V. /2 width=3 by lsubv_inv_bind_dx_aux/ qed-.