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Proof step 2 from proof refine-unmap (previous step)

avol = abs(avols[v]), v = default-volid, m < # avol, ebm-cons(avols), ebm-vol-inv(avol), v ∈ avols ⊦ ⟪ebm_vol_unmap#(m, v; avols)⟫ ⟨ebm_avol_unmap#(m; avol)⟩ (avol = abs(avols[v]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
avol = abs(avols[default-volid]), m < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols ⊦ ⟪ebm_vol_unmap#(m, default-volid; avols)⟫ ⟨ebm_avol_unmap#(m; avol)⟩ (avol = abs(avols[default-volid]))

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ # abs(evol) = # evol; (s)