X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_csx.ma;h=07cace3d31c49e554388f9c7a77226b905e613ae;hb=67fe9cec87e129a2a41c75d7ed8456a6f3314421;hp=b0921440d36c723ed8c4d76c15db87d9e2ad519e;hpb=86861e6f031df66824a381527dfe847029ff72bc;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma index b0921440d..07cace3d3 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma @@ -55,7 +55,7 @@ qed. (* Basic_1: was just: sn3_abbr *) (* Basic_2A1: was: csx_lref_bind *) lemma csx_lref_pair_drops (h) (G): - ∀I,L,K,V,i. ⬇*[i] L ≘ K.ⓑ{I}V → + ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ{I}V → ⦃G,K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃#i⦄. #h #G #I #L #K #V #i #HLK #HV @csx_intro #X #H #Hi elim (cpx_inv_lref1_drops … H) -H @@ -71,7 +71,7 @@ qed. (* Basic_1: was: sn3_gen_def *) (* Basic_2A1: was: csx_inv_lref_bind *) lemma csx_inv_lref_pair_drops (h) (G): - ∀I,L,K,V,i. ⬇*[i] L ≘ K.ⓑ{I}V → + ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ{I}V → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃#i⦄ → ⦃G,K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄. #h #G #I #L #K #V #i #HLK #Hi elim (lifts_total V (𝐔❴↑i❵)) @@ -80,9 +80,9 @@ qed-. lemma csx_inv_lref_drops (h) (G): ∀L,i. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃#i⦄ → - ∨∨ ⬇*[Ⓕ,𝐔❴i❵] L ≘ ⋆ - | ∃∃I,K. ⬇*[i] L ≘ K.ⓤ{I} - | ∃∃I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V & ⦃G,K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄. + ∨∨ ⇩*[Ⓕ,𝐔❴i❵] L ≘ ⋆ + | ∃∃I,K. ⇩*[i] L ≘ K.ⓤ{I} + | ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ{I}V & ⦃G,K⦄ ⊢ ⬈*[h] 𝐒⦃V⦄. #h #G #L #i #H elim (drops_F_uni L i) /2 width=1 by or3_intro0/ * * /4 width=9 by csx_inv_lref_pair_drops, ex2_3_intro, ex1_2_intro, or3_intro2, or3_intro1/ qed-.