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Proof step 14 from proof valid-eraseq-stronger-one (previous step)

apebs[m] = mkpeb(aehdr, avhdr, buf, m0, boolvar), m < # apebs, valid-peb(mkpeb(aehdr, avhdr, buf, m0, boolvar)), ∀ v, m1. ¬ valid-peb(v, m1, mkpeb(aehdr, avhdr, buf, m0, boolvar)) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ valid-peb(apeb) ↔ (∃ v, m. valid-peb(v, m, apeb))

Rule argument

spec: valid-peb name: valid-peb0 seq: ⊦ valid-peb(apeb) ↔ (∃ v, m. valid-peb(v, m, apeb)) subst: [apeb] → [mkpeb(aehdr, avhdr, buf, m0, boolvar)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ valid-peb(v0, m0, apeb) → (valid-peb(v1, m1, apeb) ↔ v0 = v1 ∧ m0 = m1); (s) Used terms: mkpeb(aehdr, avhdr, buf, m0, boolvar)