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Proof step 2 from proof idexcept-same (previous step)

ar0[n] = ar1[n], # ar0 = # ar1, ∀ m. m < # ar1 → ar0[m] = ar1[m] ⊦ ar0 = ar1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ar1 = ar2 ↔ # ar1 = # ar2 ∧ (∀ n. n < # ar1 → ar1[n] = ar2[n])
Proof step 4:
ar0[n] = ar1[n], # ar0 = # ar1, ∀ m. m < # ar1 → ar0[m] = ar1[m] ⊦ # ar0 = # ar1 ∧ (∀ n. n < # ar0 → ar0[n] = ar1[n])

Rule argument

spec: array inst: name: Extension seq: ⊦ ar1 = ar2 ↔ # ar1 = # ar2 ∧ (∀ n. n < # ar1 → ar1[n] = ar2[n]) subst: [ar2, ar1] → [ar1, ar0] flags: rewrite

Additional information

Used terms: ar1, ar0