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Proof step 22 from proof inv-format (previous step)

⊦ ebm-cons((∅)[default-volid, fill(mkabstractvolume(n), erased)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ ebm-cons(avols) ↔ (∀ v. v ∈ avols → ebm-cons(avols[v]))
Proof step 24:
⊦ ∀ v. v ∈ (∅)[default-volid, fill(mkabstractvolume(n), erased)] → ebm-cons((∅)[default-volid, fill(mkabstractvolume(n), erased)][v])

Rule argument

spec: ebm-base name: ebm-cons-def seq: ⊦ ebm-cons(avols) ↔ (∀ v. v ∈ avols → ebm-cons(avols[v])) subst: [avols] → [(∅)[default-volid, fill(mkabstractvolume(n), erased)]] flags: <all paths>

Additional information

Used terms: (∅)[default-volid, fill(mkabstractvolume(n), erased)]