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Proof step 38 from proof refine-remap (previous step)

m < # avols0[default-volid], ebm-cons(avols0), ebm-vol-inv(abs(avols0[default-volid])), default-volid ∈ avols0 ⊦ # abs(avols0[default-volid])[m, mapped(mkbuf(0))] = # abs(avols0[default-volid][m, mapped(emptyleb, 0)]) ∧ (∀ n. n < # abs(avols0[default-volid])[m, mapped(mkbuf(0))] → abs(avols0[default-volid])[m, mapped(mkbuf(0))][n] = abs(avols0[default-volid][m, mapped(emptyleb, 0)])[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
m < # avols0[default-volid], n < # avols0[default-volid], ebm-cons(avols0), ebm-vol-inv(abs(avols0[default-volid])), default-volid ∈ avols0 ⊦ abs(avols0[default-volid])[m, mapped(mkbuf(0))][n] = abs(avols0[default-volid][m, mapped(emptyleb, 0)])[n]

Rule argument

Additional information

Used simplifier rules: ⊦ # evol[n, leb] = # evol; (s)% ⊦ # abs(evol) = # evol; (s)% ⊦ # avol[n, aleb] = # avol; (s)