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Proof step 4 from proof tostream-inj (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ # ⌜ar⌝ = ⌜# ar⌝
Proof step 6:
⊦ n < # ar → ⌜ar⌝ [n] = ar[n]
Proof step 7:
# ar0 = # ar1, ∀ n. n < # ar1 → ar0[n] = ar1[n] ⊦ ar0 = ar1

Rule argument

Additional information

Used simplifier rules: tostream-size: ⊦ # ⌜ar⌝ = ⌜# ar⌝ ;%tostream-at: ⊦ n < # ar → ⌜ar⌝ [n] = ar[n];% ⊦ ⌜m⌝ < ⌜n⌝ ↔ m < n; (s)% ⊦ ⌜m⌝ = ⌜m0⌝ ↔ m = m0; (s)