X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fda.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fda.ma;h=81201f52a5099fe1b599c081003ff515dd627342;hb=43282d3750af8831c8100c60d75c56fdfb7ff3c9;hp=69baf3fdc169f06cc23e67bae7a216886c956ec0;hpb=6c985e4e2e7846a2b9abd0c84569f21c24e9ce2f;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/da.ma b/matita/matita/contribs/lambdadelta/basic_2/static/da.ma index 69baf3fdc..81201f52a 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/da.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/da.ma @@ -22,8 +22,8 @@ include "basic_2/static/sd.ma". (* activate genv *) inductive da (h:sh) (g:sd h): relation4 genv lenv term nat ≝ | da_sort: ∀G,L,k,l. deg h g k l → da h g G L (⋆k) l -| da_ldef: ∀G,L,K,V,i,l. ⇩[i] L ≡ K.ⓓV → da h g G K V l → da h g G L (#i) l -| da_ldec: ∀G,L,K,W,i,l. ⇩[i] L ≡ K.ⓛW → da h g G K W l → da h g G L (#i) (l+1) +| da_ldef: ∀G,L,K,V,i,l. ⬇[i] L ≡ K.ⓓV → da h g G K V l → da h g G L (#i) l +| da_ldec: ∀G,L,K,W,i,l. ⬇[i] L ≡ K.ⓛW → da h g G K W l → da h g G L (#i) (l+1) | da_bind: ∀a,I,G,L,V,T,l. da h g G (L.ⓑ{I}V) T l → da h g G L (ⓑ{a,I}V.T) l | da_flat: ∀I,G,L,V,T,l. da h g G L T l → da h g G L (ⓕ{I}V.T) l . @@ -48,8 +48,8 @@ lemma da_inv_sort: ∀h,g,G,L,k,l. ⦃G, L⦄ ⊢ ⋆k ▪[h, g] l → deg h g k /2 width=5 by da_inv_sort_aux/ qed-. fact da_inv_lref_aux: ∀h,g,G,L,T,l. ⦃G, L⦄ ⊢ T ▪[h, g] l → ∀j. T = #j → - (∃∃K,V. ⇩[j] L ≡ K.ⓓV & ⦃G, K⦄ ⊢ V ▪[h, g] l) ∨ - (∃∃K,W,l0. ⇩[j] L ≡ K.ⓛW & ⦃G, K⦄ ⊢ W ▪[h, g] l0 & + (∃∃K,V. ⬇[j] L ≡ K.ⓓV & ⦃G, K⦄ ⊢ V ▪[h, g] l) ∨ + (∃∃K,W,l0. ⬇[j] L ≡ K.ⓛW & ⦃G, K⦄ ⊢ W ▪[h, g] l0 & l = l0 + 1 ). #h #g #G #L #T #l * -G -L -T -l @@ -62,8 +62,8 @@ fact da_inv_lref_aux: ∀h,g,G,L,T,l. ⦃G, L⦄ ⊢ T ▪[h, g] l → ∀j. T = qed-. lemma da_inv_lref: ∀h,g,G,L,j,l. ⦃G, L⦄ ⊢ #j ▪[h, g] l → - (∃∃K,V. ⇩[j] L ≡ K.ⓓV & ⦃G, K⦄ ⊢ V ▪[h, g] l) ∨ - (∃∃K,W,l0. ⇩[j] L ≡ K.ⓛW & ⦃G, K⦄ ⊢ W ▪[h, g] l0 & l = l0+1). + (∃∃K,V. ⬇[j] L ≡ K.ⓓV & ⦃G, K⦄ ⊢ V ▪[h, g] l) ∨ + (∃∃K,W,l0. ⬇[j] L ≡ K.ⓛW & ⦃G, K⦄ ⊢ W ▪[h, g] l0 & l = l0+1). /2 width=3 by da_inv_lref_aux/ qed-. fact da_inv_gref_aux: ∀h,g,G,L,T,l. ⦃G, L⦄ ⊢ T ▪[h, g] l → ∀p0. T = §p0 → ⊥.