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Proof step 5 from proof append-zero-right (conclusion)

⊦ ar + mkarray(0) = ar

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array inst: name: Extension seq: ⊦ ar1 = ar2 ↔ # ar1 = # ar2 ∧ (∀ n. n < # ar1 → ar1[n] = ar2[n]) subst: [ar2, ar1] → [ar, ar + mkarray(0)] flags: rewrite

Additional information

[Concretesimprules((Csimpnamedseq(append-len,,, ⊦ #(ar0 + ar1) = # ar0 + # ar1) Csimpnamedseq(append-a,,, ⊦ (ar + ar0) + ar1 = ar + ar0 + ar1) Csimpnamedseq(append-at1,,, ⊦ n < # ar0 → (ar0 + ar1)[n] = ar0[n]) Csimpnamedseq(array,,Size-mkarray, ⊦ # mkarray(n) = n) Csimpnamedseq(nat-basic2,,add-base, ⊦ n + 0 = n) Csimpnamedseq(nat-basic2,,a, ⊦ (m + n0) + n1 = m + n0 + n1) Csimpnamedseq(nat-basic2,,c, ⊦ m + n = n + m))), Extraterms((arar + mkarray(0)))]