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Proof step 3 from proof ubi-io-inv-fwd (previous step)

n < # apebs, ubi-io-inv(apebs) ⊦ ubi-io-peb-inv(apebs[n])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ubi-io-inv(apebs) ↔ (∀ n. n < # apebs → ubi-io-peb-inv(apebs[n]))
Proof step 5:
n < # apebs, ∀ n. n < # apebs → ubi-io-peb-inv(apebs[n]) ⊦ ubi-io-peb-inv(apebs[n])

Rule argument

spec: ubi-io-inv name: inv seq: ⊦ ubi-io-inv(apebs) ↔ (∀ n. n < # apebs → ubi-io-peb-inv(apebs[n])) subst: [apebs] → [apebs] flags: <all paths>

Additional information

Used terms: apebs