bug fix in the context reduction rule for cast (cpm)

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / steps / rtc_plus.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_plus.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_plus.ma
index 900e6b4836e6f0ce739d3d2927ec1b35e1aa1882..ad9a04f01171bfb1def1287d4947d0bdc4ca83cb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_plus.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_plus.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "ground_2/steps/rtc_shift.ma".
+include "ground_2/steps/rtc_isrt.ma".
 
 (* RT-TRANSITION COUNTER ****************************************************)
 
@@ -27,10 +27,11 @@ interpretation "plus (rtc)"
 
 (* Basic properties *********************************************************)
 
-lemma plus_rew: ∀ri1,ri2,rs1,rs2,ti1,ti2,ts1,ts2. 
-                〈ri1+ri2, rs1+rs2, ti1+ti2, ts1+ts2〉 =
-                plus (〈ri1,rs1,ti1,ts1〉) (〈ri2,rs2,ti2,ts2〉).
-// qed. (**) (* disambiguation of plus fails *)
+(**) (* plus is not disambiguated parentheses *) 
+lemma plus_rew: ∀ri1,ri2,rs1,rs2,ti1,ti2,ts1,ts2.
+                 〈ri1+ri2, rs1+rs2, ti1+ti2, ts1+ts2〉 =
+                 (〈ri1,rs1,ti1,ts1〉) + (〈ri2,rs2,ti2,ts2〉).
+// qed.
 
 lemma plus_O_dx: ∀c. c = c + 𝟘𝟘.
 * #ri #rs #ti #ts <plus_rew //
@@ -82,20 +83,13 @@ qed-.
 lemma isrt_inv_plus_O_dx: ∀n,c1,c2. 𝐑𝐓⦃n, c1 + c2⦄ → 𝐑𝐓⦃0, c2⦄ → 𝐑𝐓⦃n, c1⦄.
 #n #c1 #c2 #H #H2
 elim (isrt_inv_plus … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
-lapply (isrt_mono … Hn2 H2) -c2 #H destruct //
+lapply (isrt_inj … Hn2 H2) -c2 #H destruct //
 qed-.
 
 lemma isrt_inv_plus_SO_dx: ∀n,c1,c2. 𝐑𝐓⦃n, c1 + c2⦄ → 𝐑𝐓⦃1, c2⦄ →
                            ∃∃m. 𝐑𝐓⦃m, c1⦄ & n = ⫯m.
 #n #c1 #c2 #H #H2
 elim (isrt_inv_plus … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
-lapply (isrt_mono … Hn2 H2) -c2 #H destruct
+lapply (isrt_inj … Hn2 H2) -c2 #H destruct
 /2 width=3 by ex2_intro/
 qed-.
-
-(* Properties with shift ****************************************************)
-
-lemma plus_shift: ∀c1,c2. (↓c1) + (↓c2) = ↓(c1+c2).
-* #ri1 #rs1 #ti1 #ts1 * #ri2 #rs2 #ti2 #ts2
-<shift_rew <shift_rew <shift_rew <plus_rew //
-qed.