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Proof step 12 from proof refine-unmap (previous step)

avol = abs(avols[default-volid]), m < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols ⊦ ⟨avol[m] := unmapped⟩ (avol = abs(avols[default-volid][m, unmapped]))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 13:
avol = abs(avols[default-volid]), m < # avol, m < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols ⊦ avol[m, unmapped] = abs(avols[default-volid][m, unmapped])

Rule argument

Additional information

Used simplifier rules: ⊦ # abs(evol) = # evol; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)