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Proof step 1 from proof from-succ (conclusion)

⊦ ⌜n⌝ < # σ → σ from n = σ[n] + (σ from n + 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⌜n⌝ < # σ ⊦ σ from n = ⌜σ[n] '⌝ + (σ from n + 1)

Rule argument

Additional information

Used simplifier rules: cons-append: ⊦ a + σ = ⌜a '⌝ + σ;