X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fsubstitution%2Flift_constructors.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fsubstitution%2Flift_constructors.ma;h=4eeb2ab6d9eda5930dc40cf7fba5e7b0318e4b59;hb=00fca351072c2dba11b71c14b1169d303fd6836f;hp=1cdcd4650d1b990de616a87dd79a2f8e202b818d;hpb=6f1b6f85a78d4c8da42f035f433fe4b85962bd9b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma index 1cdcd4650..4eeb2ab6d 100644 --- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma +++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -include "delayed_updating/substitution/lift_prototerm_id.ma". +include "delayed_updating/substitution/lift_prototerm_eq.ma". include "delayed_updating/substitution/lift_path_uni.ma". include "delayed_updating/syntax/prototerm_constructors.ma". @@ -24,28 +24,24 @@ lemma lift_iref_bi (t1) (t2) (n): qed. lemma lift_iref_sn (f) (t:prototerm) (n:pnat): - (𝛗f@⧣❨n❩.↑[⇂*[n]f]t) ⊆ ↑[f](𝛗n.t). -#f #t #n #p * #q * #r #Hr #H1 #H2 destruct -@(ex2_intro … (𝗱n◗𝗺◗r)) + (𝛗f@⧣❨n❩.t) ⊆ ↑[f](𝛗n.t). +#f #t #n #p * #q #Hq #H0 destruct +@(ex2_intro … (𝗱n◗𝗺◗q)) /2 width=1 by in_comp_iref/ qed-. lemma lift_iref_dx (f) (t) (n:pnat): - ↑[f](𝛗n.t) ⊆ 𝛗f@⧣❨n❩.↑[⇂*[n]f]t. + ↑[f](𝛗n.t) ⊆ 𝛗f@⧣❨n❩.t. #f #t #n #p * #q #Hq #H0 destruct elim (in_comp_inv_iref … Hq) -Hq #p #H0 #Hp destruct -/3 width=1 by in_comp_iref, in_comp_lift_bi/ +/2 width=1 by in_comp_iref/ qed-. lemma lift_iref (f) (t) (n:pnat): - (𝛗f@⧣❨n❩.↑[⇂*[n]f]t) ⇔ ↑[f](𝛗n.t). + (𝛗f@⧣❨n❩.t) ⇔ ↑[f](𝛗n.t). /3 width=1 by conj, lift_iref_sn, lift_iref_dx/ qed. lemma lift_iref_uni (t) (m) (n): (𝛗(n+m).t) ⇔ ↑[𝐮❨m❩](𝛗n.t). -#t #m #n -@(subset_eq_trans … (lift_iref …)) -nsucc_pnpred