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Proof step 3 from proof ebm-cons-above-fillcount (previous step)

avols[v][m] = mapped(buf, m0), m0 + m1 < LEB_SIZE, m < # avols[v], ebm-cons(avols), v ∈ avols ⊦ buf[m1 + m0] = empty

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ebm-cons(avols) ↔ (∀ v. v ∈ avols → ebm-cons(avols[v]))
Proof step 5:
avols[v][m] = mapped(buf, m0), m < # avols[v], m0 + m1 < LEB_SIZE, v ∈ avols, ∀ v. v ∈ avols → ebm-cons(avols[v]) ⊦ buf[m1 + m0] = empty

Rule argument

spec: ebm-base name: ebm-cons-def seq: ⊦ ebm-cons(avols) ↔ (∀ v. v ∈ avols → ebm-cons(avols[v])) subst: [avols] → [avols] flags: <all paths>

Additional information

Used terms: avols