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Proof step 2 from proof from-succ (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 3:
⌜n⌝ < # ⌜x⌝ ⊦ ⌜x⌝ from n = ⌜⌜x⌝ [n] '⌝ + (⌜x⌝ from n + 1)
Proof step 12:
⌜n⌝ < # ⌜nf⌝ ⊦ ⌜nf⌝ from n = ⌜⌜nf⌝ [n] '⌝ + (⌜nf⌝ from n + 1)

Rule argument

indvar: σ

Additional information

Used simplifier rules: stream freely generated by ⌜ ⌝, ⌜ ⌝;;