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- grafiteParser: we added the comand "defined" as a presentational
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / fsb.ma
index 95548ecf4db95d525c537ecc7e6df532c6d31bdb..c87433c2dab5515fab805d4a0839cf2155a621d1 100644 (file)
 (**************************************************************************)
 
 include "basic_2/notation/relations/btsn_5.ma".
-include "basic_2/reduction/fpbu.ma".
+include "basic_2/reduction/fpb.ma".
 include "basic_2/computation/csx.ma".
 
-(* "QRST" STRONGLY NORMALIZING TERMS ****************************************)
+(* "QRST" STRONGLY NORMALIZING CLOSURES *************************************)
 
 inductive fsb (h) (g): relation3 genv lenv term ≝
 | fsb_intro: ∀G1,L1,T1. (
@@ -31,17 +31,17 @@ interpretation
 (* Basic eliminators ********************************************************)
 
 lemma fsb_ind_alt: ∀h,g. ∀R: relation3 …. (
-                      â\88\80G1,L1,T1. â¦\83G1, L1â¦\84 â\8a¢ â¦¥[h,g] T1 → (
+                      â\88\80G1,L1,T1. â¦¥[h,g] â¦\83G1, L1, T1â¦\84 → (
                          ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h, g] ⦃G2, L2, T2⦄ → R G2 L2 T2
                       ) → R G1 L1 T1
                    ) →
-                   â\88\80G,L,T. â¦\83G, Lâ¦\84 â\8a¢ â¦¥[h, g] T → R G L T.
+                   â\88\80G,L,T. â¦¥[h, g] â¦\83G, L, Tâ¦\84 → R G L T.
 #h #g #R #IH #G #L #T #H elim H -G -L -T
 /4 width=1 by fsb_intro/
 qed-.
 
 (* Basic inversion lemmas ***************************************************)
 
-lemma fsb_inv_csx: â\88\80h,g,G,L,T. â¦\83G, Lâ¦\84 â\8a¢ â¦¥[h, g] T → ⦃G, L⦄ ⊢ ⬊*[h, g] T.
-#h #g #G #L #T #H elim H -G -L -T /5 width=1 by csx_intro, fpbu_cpx/
+lemma fsb_inv_csx: â\88\80h,g,G,L,T. â¦¥[h, g] â¦\83G, L, Tâ¦\84 → ⦃G, L⦄ ⊢ ⬊*[h, g] T.
+#h #g #G #L #T #H elim H -G -L -T /5 width=1 by csx_intro, fpb_cpx/
 qed-.