X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsubr_drops.ma;h=f69618336444b10501d6957bba1844518950b816;hp=9a2fa5cdd989e3cf91a68b6fb16ba3cc3afa7520;hb=222044da28742b24584549ba86b1805a87def070;hpb=98fbba1b68d457807c73ebf70eb2a48696381da4 diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsubr_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsubr_drops.ma index 9a2fa5cdd..f69618336 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lsubr_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsubr_drops.ma @@ -21,10 +21,10 @@ include "basic_2/static/lsubr.ma". (* Basic_2A1: includes: lsubr_fwd_drop2_pair *) lemma lsubr_fwd_drops2_bind: ∀L1,L2. L1 ⫃ L2 → - ∀b,f,I,K2. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≡ K2.ⓘ{I} → - ∨∨ ∃∃K1. K1 ⫃ K2 & ⬇*[b, f] L1 ≡ K1.ⓘ{I} - | ∃∃K1,W,V. K1 ⫃ K2 & ⬇*[b, f] L1 ≡ K1.ⓓⓝW.V & I = BPair Abst W - | ∃∃J1,J2,K1,V. K1 ⫃ K2 & ⬇*[b, f] L1 ≡ K1.ⓑ{J1}V & I = BUnit J2. + ∀b,f,I,K2. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≘ K2.ⓘ{I} → + ∨∨ ∃∃K1. K1 ⫃ K2 & ⬇*[b, f] L1 ≘ K1.ⓘ{I} + | ∃∃K1,W,V. K1 ⫃ K2 & ⬇*[b, f] L1 ≘ K1.ⓓⓝW.V & I = BPair Abst W + | ∃∃J1,J2,K1,V. K1 ⫃ K2 & ⬇*[b, f] L1 ≘ K1.ⓑ{J1}V & I = BUnit J2. #L1 #L2 #H elim H -L1 -L2 [ #b #f #I #K2 #_ #H elim (drops_inv_atom1 … H) -H #H destruct @@ -42,8 +42,8 @@ qed-. (* Basic_2A1: includes: lsubr_fwd_drop2_abbr *) lemma lsubr_fwd_drops2_abbr: ∀L1,L2. L1 ⫃ L2 → - ∀b,f,K2,V. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≡ K2.ⓓV → - ∃∃K1. K1 ⫃ K2 & ⬇*[b, f] L1 ≡ K1.ⓓV. + ∀b,f,K2,V. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≘ K2.ⓓV → + ∃∃K1. K1 ⫃ K2 & ⬇*[b, f] L1 ≘ K1.ⓓV. #L1 #L2 #HL12 #b #f #K2 #V #Hf #HLK2 elim (lsubr_fwd_drops2_bind … HL12 … Hf HLK2) -L2 -Hf // * [ #K1 #W #V #_ #_ #H destruct