X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fjsx_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fjsx_drops.ma;h=7ac21a90d5d142b1254813193005e9bf2e38b567;hb=67fe9cec87e129a2a41c75d7ed8456a6f3314421;hp=93368d55426d59ca1d2286588edf2ba39245bf0b;hpb=86861e6f031df66824a381527dfe847029ff72bc;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_drops.ma index 93368d554..7ac21a90d 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_drops.ma @@ -21,7 +21,7 @@ include "basic_2/rt_computation/jsx.ma". lemma jsx_fwd_drops_atom_sn (h) (b) (G): ∀L1,L2. G ⊢ L1 ⊒[h] L2 → - ∀f. 𝐔⦃f⦄ → ⬇*[b,f]L1 ≘ ⋆ → ⬇*[b,f]L2 ≘ ⋆. + ∀f. 𝐔⦃f⦄ → ⇩*[b,f]L1 ≘ ⋆ → ⇩*[b,f]L2 ≘ ⋆. #h #b #G #L1 #L2 #H elim H -L1 -L2 [ #f #_ #H // | #I #K1 #K2 #_ #IH #f #Hf #H @@ -35,8 +35,8 @@ qed-. lemma jsx_fwd_drops_unit_sn (h) (b) (G): ∀L1,L2. G ⊢ L1 ⊒[h] L2 → - ∀f. 𝐔⦃f⦄ → ∀I,K1. ⬇*[b,f]L1 ≘ K1.ⓤ{I} → - ∃∃K2. G ⊢ K1 ⊒[h] K2 & ⬇*[b,f]L2 ≘ K2.ⓤ{I}. + ∀f. 𝐔⦃f⦄ → ∀I,K1. ⇩*[b,f]L1 ≘ K1.ⓤ{I} → + ∃∃K2. G ⊢ K1 ⊒[h] K2 & ⇩*[b,f]L2 ≘ K2.ⓤ{I}. #h #b #G #L1 #L2 #H elim H -L1 -L2 [ #f #_ #J #Y1 #H lapply (drops_inv_atom1 … H) -H * #H #_ destruct @@ -54,9 +54,9 @@ qed-. lemma jsx_fwd_drops_pair_sn (h) (b) (G): ∀L1,L2. G ⊢ L1 ⊒[h] L2 → - ∀f. 𝐔⦃f⦄ → ∀I,K1,V. ⬇*[b,f]L1 ≘ K1.ⓑ{I}V → - ∨∨ ∃∃K2. G ⊢ K1 ⊒[h] K2 & ⬇*[b,f]L2 ≘ K2.ⓑ{I}V - | ∃∃K2. G ⊢ K1 ⊒[h] K2 & ⬇*[b,f]L2 ≘ K2.ⓧ & G ⊢ ⬈*[h,V] 𝐒⦃K2⦄. + ∀f. 𝐔⦃f⦄ → ∀I,K1,V. ⇩*[b,f]L1 ≘ K1.ⓑ{I}V → + ∨∨ ∃∃K2. G ⊢ K1 ⊒[h] K2 & ⇩*[b,f]L2 ≘ K2.ⓑ{I}V + | ∃∃K2. G ⊢ K1 ⊒[h] K2 & ⇩*[b,f]L2 ≘ K2.ⓧ & G ⊢ ⬈*[h,V] 𝐒⦃K2⦄. #h #b #G #L1 #L2 #H elim H -L1 -L2 [ #f #_ #J #Y1 #X1 #H lapply (drops_inv_atom1 … H) -H * #H #_ destruct