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

# ⌜buf0⌝ = # ⌜buf1⌝ , ∀ n. ⌜n⌝ < # ⌜buf0⌝ → ⌜buf0⌝ [n] = ⌜buf1⌝ [n] ⊦ buf0 = buf1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ # ⌜buf⌝ = ⌜# buf⌝
Proof step 6:
⊦ n < # buf → ⌜buf⌝ [n] = buf[n]
Proof step 7:
# buf0 = # buf1, ∀ n. n < # buf1 → buf0[n] = buf1[n] ⊦ buf0 = buf1

Rule argument

Additional information

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