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Proof step 1 from proof mkemparray0-append-right (conclusion)

⊦ ar + mkemparray(0) = ar

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ mkemparray(n) = fill(mkarray(n), empty)
Proof step 3:
⊦ ar0 + ar1 = ar0 ↔ # ar1 = 0
Proof step 4:
⊦ (ar + ar0) + ar1 = ar + ar0 + ar1

Rule argument

Additional information

Used simplifier rules: emparray: ⊦ mkemparray(n) = fill(mkarray(n), empty);%append-prefix-left: ⊦ ar0 + ar1 = ar0 ↔ # ar1 = 0;%append-a: ⊦ (ar + ar0) + ar1 = ar + ar0 + ar1;% ⊦ # mkarray(n) = n; (s)% ⊦ # fill(ar, a) = # ar; (s)