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Proof step 2 from proof resize-twice (previous step)

# ar ≤ n ⊦ resize(resize(ar, n), m) = resize(ar, m)

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:
# ar ≤ n ⊦ # resize(resize(ar, n), m) = # resize(ar, m) ∧ (∀ n0. n0 < # resize(resize(ar, n), m) → resize(resize(ar, n), m)[n0] = resize(ar, m)[n0])

Rule argument

spec: array name: Extension seq: ⊦ ar1 = ar2 ↔ # ar1 = # ar2 ∧ (∀ n. n < # ar1 → ar1[n] = ar2[n]) subst: [ar2, ar1] → [resize(ar, m), resize(resize(ar, n), m)] flags: <all paths>

Additional information

Used terms: resize(ar, m), resize(resize(ar, n), m)