notational change of lift, drop, and gget

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cix.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cix.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cix.ma
index ad3c608314c37ba3cff8e67b532e06e390a4128a..6683871ad1c52bebcbac8db3a8f539aee1b46ebd 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cix.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cix.ma
@@ -12,24 +12,24 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/notreducible_5.ma".
+include "basic_2/notation/relations/prednotreducible_5.ma".
 include "basic_2/reduction/cir.ma".
 include "basic_2/reduction/crx.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED IRREDUCIBLE TERMS *****************************)
+(* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE EXTENDED REDUCTION ***************)
 
 definition cix: ∀h. sd h → relation3 genv lenv term ≝
                 λh,g,G,L,T. ⦃G, L⦄ ⊢ ➡[h, g] 𝐑⦃T⦄ → ⊥.
 
-interpretation "context-sensitive extended irreducibility (term)"
-   'NotReducible h g G L T = (cix h g G L T).
+interpretation "irreducibility for context-sensitive extended reduction (term)"
+   'PRedNotReducible h g G L T = (cix h g G L T).
 
 (* Basic inversion lemmas ***************************************************)
 
 lemma cix_inv_sort: ∀h,g,G,L,k,l. deg h g k (l+1) → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃⋆k⦄ → ⊥.
 /3 width=2 by crx_sort/ qed-.
 
-lemma cix_inv_delta: â\88\80h,g,I,G,L,K,V,i. â\87©[i] L ≡ K.ⓑ{I}V → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃#i⦄ → ⊥.
+lemma cix_inv_delta: â\88\80h,g,I,G,L,K,V,i. â¬\87[i] L ≡ K.ⓑ{I}V → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃#i⦄ → ⊥.
 /3 width=4 by crx_delta/ qed-.
 
 lemma cix_inv_ri2: ∀h,g,I,G,L,V,T. ri2 I → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃②{I}V.T⦄ → ⊥.