X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Frdeq_drops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Frdeq_drops.ma;h=15e7ca69ca90952a08807927fa991db543732f08;hb=67fe9cec87e129a2a41c75d7ed8456a6f3314421;hp=6246d21a2d954289a29a2336b66ce87fdfb3a305;hpb=86861e6f031df66824a381527dfe847029ff72bc;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma index 6246d21a2..15e7ca69c 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma @@ -32,21 +32,21 @@ lemma rdeq_inv_lifts_dx: f_dropable_dx cdeq. /2 width=5 by rex_dropable_dx/ qed-. lemma rdeq_inv_lifts_bi: ∀L1,L2,U. L1 ≛[U] L2 → ∀b,f. 𝐔⦃f⦄ → - ∀K1,K2. ⬇*[b,f] L1 ≘ K1 → ⬇*[b,f] L2 ≘ K2 → - ∀T. ⬆*[f] T ≘ U → K1 ≛[T] K2. + ∀K1,K2. ⇩*[b,f] L1 ≘ K1 → ⇩*[b,f] L2 ≘ K2 → + ∀T. ⇧*[f] T ≘ U → K1 ≛[T] K2. /2 width=10 by rex_inv_lifts_bi/ qed-. -lemma rdeq_inv_lref_pair_sn: ∀L1,L2,i. L1 ≛[#i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I}V1 → - ∃∃K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I}V2 & K1 ≛[V1] K2 & V1 ≛ V2. +lemma rdeq_inv_lref_pair_sn: ∀L1,L2,i. L1 ≛[#i] L2 → ∀I,K1,V1. ⇩*[i] L1 ≘ K1.ⓑ{I}V1 → + ∃∃K2,V2. ⇩*[i] L2 ≘ K2.ⓑ{I}V2 & K1 ≛[V1] K2 & V1 ≛ V2. /2 width=3 by rex_inv_lref_pair_sn/ qed-. -lemma rdeq_inv_lref_pair_dx: ∀L1,L2,i. L1 ≛[#i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I}V2 → - ∃∃K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I}V1 & K1 ≛[V1] K2 & V1 ≛ V2. +lemma rdeq_inv_lref_pair_dx: ∀L1,L2,i. L1 ≛[#i] L2 → ∀I,K2,V2. ⇩*[i] L2 ≘ K2.ⓑ{I}V2 → + ∃∃K1,V1. ⇩*[i] L1 ≘ K1.ⓑ{I}V1 & K1 ≛[V1] K2 & V1 ≛ V2. /2 width=3 by rex_inv_lref_pair_dx/ qed-. lemma rdeq_inv_lref_pair_bi (L1) (L2) (i): L1 ≛[#i] L2 → - ∀I1,K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I1}V1 → - ∀I2,K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I2}V2 → + ∀I1,K1,V1. ⇩*[i] L1 ≘ K1.ⓑ{I1}V1 → + ∀I2,K2,V2. ⇩*[i] L2 ≘ K2.ⓑ{I2}V2 → ∧∧ K1 ≛[V1] K2 & V1 ≛ V2 & I1 = I2. /2 width=6 by rex_inv_lref_pair_bi/ qed-.