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Proof step 1 from proof putgetinv (conclusion)

m < # ar ⊦ ar[m, ar[m]] = ar

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ar1 = ar2 ↔ # ar1 = # ar2 ∧ (∀ n. n < # ar1 → ar1[n] = ar2[n])
Proof step 3:
m < # ar ⊦ # ar[m, ar[m]] = # ar ∧ (∀ n. n < # ar[m, ar[m]] → ar[m, ar[m]][n] = ar[n])

Rule argument

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

Additional information

Used terms: ar, ar[m, ar[m]]