update in delayed_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 b188a7730dc1b10ae5fd10b664390d98bb3963ad..b36038141c87ce356fb4296899ef3daac03269cf 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma
@@ -14,22 +14,22 @@
 
 include "delayed_updating/substitution/fsubst.ma".
 include "delayed_updating/substitution/lift_prototerm.ma".
-include "delayed_updating/syntax/path_depth.ma".
-include "delayed_updating/syntax/path_structure.ma".
-include "delayed_updating/syntax/path_balanced.ma".
-include "delayed_updating/notation/relations/black_rightarrow_f_4.ma".
-include "ground/xoa/ex_1_2.ma".
-include "ground/xoa/and_4.ma".
+include "delayed_updating/syntax/prototerm_eq.ma".
+include "delayed_updating/syntax/path_head.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. ∃∃b,n.
-           let r ≝ p●𝗔◗b●𝗟◗q in
-           ∧∧ ⊗b ϵ 𝐁 & ∀f. ❘𝗟◗q❘ = (↑[q]⫯f)@❨n❩ & r◖𝗱n ϵ t1 &
-              t1[⋔r←↑[𝐮❨❘b●𝗟◗q❘❩](t1⋔(p◖𝗦))] ⇔ t2
+(**) (* 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
 .
 
 interpretation
-  "focused balanced reduction with immediate updating (prototerm)"
-  'BlackRightArrowF t1 p q t2 = (ifr p q t1 t2).
+  "focused reduction with immediate updating (prototerm)"
+  'BlackRightArrowIF t1 r t2 = (ifr r t1 t2).