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Proof step 5 from proof copy-some-edges (previous step)

recursive-edges-property(n, φe), H = H1, map = map1 ⊦ [copy_edges#(succ0; succ1, map1, H1): n ] φe(succ0, succ1, H, H1, map, map1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ recursive-edges-property(n, φe) ↔ (∀ succ0, succ1, H1, map1. [H0 := H1; map0 := map1; copy_edges#(succ0; succ1, map1, H1): n ] φe(succ0, succ1, H0, H1, map0, map1))

Rule argument

spec: inst: name:recursive-edges-property seq: ⊦ recursive-edges-property(n, φe) ↔ (∀ succ0, succ1, H1, map1. [H0 := H1; map0 := map1; copy_edges#(succ0; succ1, map1, H1): n ] φe(succ0, succ1, H0, H1, map0, map1)) subst:[φe, n] → [φe, n] flags:rewrite, current

Additional information

[Concretesimprules(()), Extraterms((φen))]