]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/reduction/cir.ma
notational change of lift, drop, and gget
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cir.ma
index a8a5bcc9cae21a06b95d99b151192fd1398fb83b..576633954bd138547b93255e7853daeb456eb579 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/notreducible_3.ma".
+include "basic_2/notation/relations/prednotreducible_3.ma".
 include "basic_2/reduction/crr.ma".
 
-(* CONTEXT-SENSITIVE IRREDUCIBLE TERMS **************************************)
+(* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE REDUCTION ************************)
 
 definition cir: relation3 genv lenv term ≝ λG,L,T. ⦃G, L⦄ ⊢ ➡ 𝐑⦃T⦄ → ⊥.
 
-interpretation "context-sensitive irreducibility (term)"
-   'NotReducible G L T = (cir G L T).
+interpretation "irreducibility for context-sensitive reduction (term)"
+   'PRedNotReducible G L T = (cir G L T).
 
 (* Basic inversion lemmas ***************************************************)
 
-lemma cir_inv_delta: â\88\80G,L,K,V,i. â\87©[i] L ≡ K.ⓓV → ⦃G, L⦄ ⊢ ➡ 𝐈⦃#i⦄ → ⊥.
+lemma cir_inv_delta: â\88\80G,L,K,V,i. â¬\87[i] L ≡ K.ⓓV → ⦃G, L⦄ ⊢ ➡ 𝐈⦃#i⦄ → ⊥.
 /3 width=3 by crr_delta/ qed-.
 
 lemma cir_inv_ri2: ∀I,G,L,V,T. ri2 I → ⦃G, L⦄ ⊢ ➡ 𝐈⦃②{I}V.T⦄ → ⊥.