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Proof step 14 from proof inv-create-volume (previous step)

ebm-cons(avols), v0 ∈ avols[v, fill(mkabstractvolume(n), erased)] ⊦ ebm-cons(avols[v, fill(mkabstractvolume(n), erased)][v0]), v ∈ avols

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ ebm-cons(evol) ↔ (∀ m. m < # evol → valid-leb(evol[m]))
Proof step 16:
ebm-cons(avols), v0 ∈ avols[v, fill(mkabstractvolume(n), erased)] ⊦ v ∈ avols, ∀ m. m < # avols[v, fill(mkabstractvolume(n), erased)][v0] → valid-leb(avols[v, fill(mkabstractvolume(n), erased)][v0][m])

Rule argument

spec: ebm-base name: ebm-cons seq: ⊦ ebm-cons(evol) ↔ (∀ m. m < # evol → valid-leb(evol[m])) subst: [evol] → [avols[v, fill(mkabstractvolume(n), erased)][v0]] flags: <all paths>

Additional information

Used terms: avols[v, fill(mkabstractvolume(n), erased)][v0]