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Proof step 23 from proof refine-unmap (previous step)

m < # avols[default-volid], n < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols ⊦ abs(avols[default-volid][n]) = abs(avols[default-volid][m, unmapped])[n], n = m

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ebm-vol-abs name: abs-at seq: ⊦ n < # evol → abs(evol)[n] = abs(evol[n]) subst: [n, evol] → [n, avols[default-volid][m, unmapped]] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m ≠ n → evol[n, leb][m] = evol[m]; (s)% ⊦ # evol[n, leb] = # evol; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s) Used terms: n, avols[default-volid][m, unmapped]