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Proof step 21 from proof strengthen-recursive-edges-property (previous step)

recursive-edges-property(n, φe1), recursive-property(φn0, φe0) ⊦ recursive-edges-property (n, λ succ0, succ1, H0, H1, map0, map1. φe0(succ0, succ1, H0, H1, map0, map1) ∧ φe1(succ0, succ1, H0, H1, map0, map1))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ recursive-property(φn, φe) ↔ (∀ n. recursive-node-property(n, φn) ∧ recursive-edges-property(n, φe))

Rule argument

spec: inst: name:recursive-property seq: ⊦ recursive-property(φn, φe) ↔ (∀ n. recursive-node-property(n, φn) ∧ recursive-edges-property(n, φe)) subst:[φe, φn] → [φe0, φn0] flags:rewrite, current

Additional information

[Concretesimprules(()), Extraterms((φe0φn0))]