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Proof step 2 from proof inv-remap (previous step)

v = default-volid, m < # avols[v], ebm-cons(avols), v ∈ avols ⊦ ⟪ebm_vol_remap#(m, v; avols; err)⟫ (v ∈ avols ∧ ebm-cons(avols))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
m < # avols[default-volid], ebm-cons(avols), default-volid ∈ avols ⊦ ⟪ebm_vol_remap#(m, default-volid; avols; err)⟫ (default-volid ∈ avols ∧ ebm-cons(avols))

Rule argument

Additional information

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