some renaming to free the baseuri cic:/matita/lambda

[helm.git] / matita / matita / lib / lambda / rc_hsat.ma

diff --git a/matita/matita/lib/lambda/rc_hsat.ma b/matita/matita/lib/lambda/rc_hsat.ma
deleted file mode 100644 (file)
index 7426d81..0000000
--- a/matita/matita/lib/lambda/rc_hsat.ma
+++ /dev/null
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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 "lambda/rc_sat.ma".
-
-(* HIGHER ORDER REDUCIBILITY CANDIDATES ***************************************)
-
-(* An arity is a type of λ→ to be used as carrier for a h.o. r.c. *)
-
-(* The type of the higher order r.c.'s having a given carrier.
- * a h.o. r.c is implemented as an inductively defined metalinguistic function
- * [ a CIC function in the present case ]. 
- *)
-let rec HRC P ≝ match P with
-   [ SORT     ⇒ RC
-   | ABST Q P ⇒ HRC Q → HRC P
-   ].
-
-(* The default h.o r.c.
- * This is needed to complete the partial interpretation of types.
- *)
-let rec defHRC P ≝ match P return λP. HRC P with
-   [ SORT     ⇒ snRC
-   | ABST Q P ⇒ λ_. defHRC P
-   ].
-
-(* extensional equality *******************************************************)
-
-(* This is the extensional equalty of functions
- * modulo the extensional equality on the domain.
- * The functions may not respect extensional equality so reflexivity fails.
- *)
-let rec hrceq P ≝ match P return λP. HRC P → HRC P → Prop with
-   [ SORT     ⇒ λC1,C2. C1 ≅ C2
-   | ABST Q P ⇒ λC1,C2. ∀B1,B2. hrceq Q B1 B2 → hrceq P (C1 B1) (C2 B2)
-   ].
-
-interpretation
-   "extensional equality (h.o. reducibility candidate)"
-   'Eq1 P C1 C2 = (hrceq P C1 C2).
-
-lemma symmetric_hrceq: ∀P. symmetric ? (hrceq P).
-#P (elim P) -P /4/
-qed.
-
-lemma transitive_hrceq: ∀P. transitive ? (hrceq P).
-#P (elim P) -P /5/
-qed.
-
-lemma reflexive_defHRC: ∀P. defHRC P ≅^P defHRC P.
-#P (elim P) -P (normalize) /2/
-qed.