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Proof step 69 from proof refine-remap (previous step)

n = m, n < # avols0[default-volid], m < # 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])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 70:
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]), unmapped = abs(avols0[default-volid][m, unmapped])[m]

Rule argument

Additional information

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