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Proof step 15 from proof cut (previous step)

# ar = 0 ⊦ ar = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ ar1 = ar2 ↔ # ar1 = # ar2 ∧ (∀ n. n < # ar1 → ar1[n] = ar2[n])
Proof step 17:
# ar = 0 ⊦ # ar = # [] ∧ (∀ n. n < # ar → ar[n] = ([])[n])

Rule argument

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

Additional information

Used terms: [], ar