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 b36038141c87ce356fb4296899ef3daac03269cf..92512b342ed50449745aa0fdec371d10bad5621e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma
@@ -15,19 +15,18 @@
 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_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 ************************************************)
 
-(**) (* explicit ninj because we cannot declare the expectd type of k *)
 definition ifr (r): relation2 prototerm prototerm ≝
            λt1,t2.
-           ∃∃p,q,k. p●𝗔◗𝗟◗q = r &
-           (𝗟◗q) = ↳[ninj k](𝗟◗q) & r◖𝗱k ϵ t1 &
-           t1[⋔r←↑[𝐮❨ninj k❩](t1⋔(p◖𝗦))] ⇔ 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