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Proof step 25 from proof inv-format (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 26:
⊦ ebm-cons(evol) ↔ (∀ m. m < # evol → valid-leb(evol[m]))
Proof step 27:
v ∈ (∅)[default-volid, fill(mkabstractvolume(n), erased)] ⊦ ∀ m. m < # (∅)[default-volid, fill(mkabstractvolume(n), erased)][v] → valid-leb((∅)[default-volid, fill(mkabstractvolume(n), erased)][v][m])

Rule argument

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

Additional information

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