update in delayd_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / ifr.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma
index a63368e1eb644b277899865c0a6ca8f43ca868a6..92512b342ed50449745aa0fdec371d10bad5621e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma
@@ -12,22 +12,23 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "delayed_updating/unwind/unwind2_prototerm.ma".
 include "delayed_updating/substitution/fsubst.ma".
+include "delayed_updating/substitution/lift_prototerm.ma".
 include "delayed_updating/syntax/prototerm_eq.ma".
-include "delayed_updating/syntax/path_head.ma".
-include "delayed_updating/syntax/path_reverse.ma".
-include "delayed_updating/notation/relations/black_rightarrow_if_4.ma".
+include "delayed_updating/syntax/path_closed.ma".
+include "delayed_updating/notation/relations/black_rightarrow_if_3.ma".
+include "ground/relocation/tr_uni.ma".
+include "ground/xoa/ex_4_3.ma".
 
 (* IMMEDIATE FOCUSED REDUCTION ************************************************)
 
-definition ifr (p) (q): relation2 prototerm prototerm ≝
-           λt1,t2. ∃n:pnat.
-           let r ≝ p●𝗔◗𝗟◗q in
-           ∧∧ (𝗟◗q)ᴿ = ↳[n](rᴿ) & r◖𝗱n ϵ t1 &
-              t1[⋔r←▼[𝐮❨n❩](t1⋔(p◖𝗦))] ⇔ t2
+definition ifr (r): relation2 prototerm prototerm ≝
+           λt1,t2.
+           ∃∃p,q,n. p●𝗔◗𝗟◗q = r &
+           q ϵ 𝐂❨n❩ & r◖𝗱↑n ϵ t1 &
+           t1[⋔r←↑[𝐮❨↑n❩](t1⋔(p◖𝗦))] ⇔ t2
 .
 
 interpretation
   "focused reduction with immediate updating (prototerm)"
-  'BlackRightArrowIF t1 p q t2 = (ifr p q t1 t2).
+  'BlackRightArrowIF t1 r t2 = (ifr r t1 t2).