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Proof step 1 from proof append-eq-emptyar (conclusion)

⊦ ar0 + ar1 = mkarray(0) ↔ ar0 = mkarray(0) ∧ ar1 = mkarray(0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ mkarray(0) + ar = ar
Proof step 3:
⊦ (ar + ar0) + ar1 = ar + ar0 + ar1
Proof step 4:
ar0 + ar1 = mkarray(0) ⊦ ar0 = mkarray(0) ∧ ar1 = mkarray(0)

Rule argument

Additional information

Used simplifier rules: append-zero-left: ⊦ mkarray(0) + ar = ar;%append-a: ⊦ (ar + ar0) + ar1 = ar + ar0 + ar1;