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

⊦ σ from m from n = σ from m + n, # σ < ⌜m⌝ + ⌜n⌝

User applied rule structural induction

And obtained the following new goals

Proof step 3:
⊦ ⌜x⌝ from m from n = ⌜x⌝ from m + n, # ⌜x⌝ < ⌜m⌝ + ⌜n⌝
Proof step 9:
⊦ ⌜nf⌝ from m from n = ⌜nf⌝ from m + n, # ⌜nf⌝ < ⌜m⌝ + ⌜n⌝

Rule argument

indvar: σ

Additional information

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