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Proof step 66 from proof refine-remap (previous step)

m < # avols0[default-volid], ebm-cons(avols0), ebm-vol-inv(abs(avols0[default-volid])), default-volid ∈ avols0, ⌊err1⌋ ⊦ abs(avols0[default-volid]) = abs(avols0[default-volid][m, unmapped]), # abs(avols0[default-volid])[m, unmapped] = # abs(avols0[default-volid][m, unmapped]) ∧ (∀ n. n < # abs(avols0[default-volid])[m, unmapped] → abs(avols0[default-volid])[m, unmapped][n] = abs(avols0[default-volid][m, unmapped])[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 67:
m < # avols0[default-volid], n < # avols0[default-volid], ebm-cons(avols0), ebm-vol-inv(abs(avols0[default-volid])), default-volid ∈ avols0, ⌊err1⌋ ⊦ abs(avols0[default-volid])[m, unmapped][n] = abs(avols0[default-volid][m, unmapped])[n], abs(avols0[default-volid]) = abs(avols0[default-volid][m, unmapped])

Rule argument

Additional information

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