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update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / ifr.ma
index b58f9ee185d40458dac3ea3baf30906a03cb1825..2394523f5c26de3cd3af0685823e78f059fec30d 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
+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/substitution/fsubst.ma".
-include "delayed_updating/substitution/lift_prototerm.ma".
 include "delayed_updating/notation/relations/black_rightarrow_f_4.ma".
+include "ground/xoa/ex_1_2.ma".
+include "ground/xoa/and_4.ma".
 
 (* IMMEDIATE FOCUSED REDUCTION ************************************************)
 
 definition ifr (p) (q): relation2 prototerm prototerm ≝
-           λt1,t2. ∃b.
+           λt1,t2. ∃∃b,n.
            let r ≝ p●𝗔◗b●𝗟◗q in
-           ∧∧ ⊗b ϵ 𝐁 & r◖𝗱❘q❘ ϵ t1 &
-              t1[⋔r←↑[𝐮❨❘q❘❩](t1⋔(p◖𝗦))] ⇔ t2
+           ∧∧ ⊗b ϵ 𝐁 & ❘q❘ = (↑[q]𝐢)@❨n❩ & r◖𝗱n ϵ t1 &
+              t1[⋔r←↑[𝐮❨n❩](t1⋔(p◖𝗦))] ⇔ t2
 .
 
 interpretation