X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fetc%2Flift_k%2Flift_constructors.etc;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fetc%2Flift_k%2Flift_constructors.etc;h=0000000000000000000000000000000000000000;hb=4ac2becfaa45abb18acb2bdf3db5d2587cadb6d4;hp=1cdcd4650d1b990de616a87dd79a2f8e202b818d;hpb=f5b6fd3125c0aefa1db23fbdd23b887fa964f385;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/etc/lift_k/lift_constructors.etc b/matita/matita/contribs/lambdadelta/delayed_updating/etc/lift_k/lift_constructors.etc deleted file mode 100644 index 1cdcd4650..000000000 --- a/matita/matita/contribs/lambdadelta/delayed_updating/etc/lift_k/lift_constructors.etc +++ /dev/null @@ -1,51 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||M|| *) -(* ||A|| A project by Andrea Asperti *) -(* ||T|| *) -(* ||I|| Developers: *) -(* ||T|| The HELM team. *) -(* ||A|| http://helm.cs.unibo.it *) -(* \ / *) -(* \ / This file is distributed under the terms of the *) -(* v GNU General Public License Version 2 *) -(* *) -(**************************************************************************) - -include "delayed_updating/substitution/lift_prototerm_id.ma". -include "delayed_updating/substitution/lift_path_uni.ma". -include "delayed_updating/syntax/prototerm_constructors.ma". - -(* LIFT FOR PROTOTERM *******************************************************) - -lemma lift_iref_bi (t1) (t2) (n): - t1 ⇔ t2 → 𝛗n.t1 ⇔ 𝛗n.t2. -/2 width=1 by subset_equivalence_ext_f1_bi/ -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)) -/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 #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/ -qed-. - -lemma lift_iref (f) (t) (n:pnat): - (𝛗f@⧣❨n❩.↑[⇂*[n]f]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