]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr.ma
update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / dfr.ma
index e118134dd450a7bfcc2a49c6865b250a62c90d05..89c9599079d4f71cc7be1045566f22b014420356 100644 (file)
@@ -20,7 +20,6 @@ include "delayed_updating/syntax/path_structure.ma".
 include "delayed_updating/syntax/path_balanced.ma".
 include "delayed_updating/syntax/path_depth.ma".
 include "delayed_updating/notation/relations/black_rightarrow_df_4.ma".
-include "ground/arith/nat_rplus.ma".
 include "ground/xoa/ex_1_2.ma".
 include "ground/xoa/and_4.ma".
 
@@ -29,7 +28,7 @@ include "ground/xoa/and_4.ma".
 definition dfr (p) (q): relation2 prototerm prototerm ≝
            λt1,t2. ∃∃b,n.
            let r ≝ p●𝗔◗b●𝗟◗q in
-           ∧∧ ⊗b ϵ 𝐁 & ∀f. ↑❘q❘ = (↑[q]f)@❨n❩ & r◖𝗱n ϵ t1 &
+           ∧∧ ⊗b ϵ 𝐁 & ∀f. ↑❘q❘ = (↑[q]f)@❨n❩ & r◖𝗱n ϵ t1 &
               t1[⋔r←𝛗(n+❘b❘).(t1⋔(p◖𝗦))] ⇔ t2
 .