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Proof step 44 from proof refine-remap (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 45:
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][n]) = abs(avols0[default-volid][m, mapped(emptyleb, 0)])[n], n = m

Rule argument

Additional information

Used simplifier rules: ⊦ n < # evol → abs(evol)[n] = abs(evol[n]); (s)