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Proof step 8 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]), v ∈ avols ⊦ buf[m1 + m0] = empty

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ ebm-cons(evol) ↔ (∀ m. m < # evol → valid-leb(evol[m]))
Proof step 10:
avols[v][m] = mapped(buf, m0), m < # avols[v], m0 + m1 < LEB_SIZE, v ∈ avols, ∀ m. m < # avols[v] → valid-leb(avols[v][m]) ⊦ buf[m1 + m0] = empty

Rule argument

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

Additional information

Used terms: avols[v]