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Proof step 5 from proof tobuf-rev (previous step)

⊦ # σ = ∞, # ⌜σ.buf⌝ = # σ ∧ (∀ n. ⌜n⌝ < # ⌜σ.buf⌝ → ⌜σ.buf⌝ [n] = σ[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ # ⌜buf⌝ = ⌜# buf⌝
Proof step 7:
finp(σ) ⊦ # σ.buf = (# σ).n
Proof step 8:
⌜n⌝ < # σ ⊦ # σ = ∞, ⌜σ.buf⌝ [n] = σ[n]

Rule argument

Additional information

Used simplifier rules: tostream-size: ⊦ # ⌜buf⌝ = ⌜# buf⌝ ;%tobuf-size: finp(σ) ⊦ # σ.buf = (# σ).n;%n∞ ≠ ∞ ⊦ ⌜n∞.n⌝ = n∞; (s)% ⊦ ¬ finp(σ0) → # σ0 = ∞; (s)