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

⊦ (σ to n) from n = [], # σ < ⌜n⌝

User applied rule constructor cut

And obtained the following new goals

Proof step 3:
σ = ⌜x⌝ ⊦ (σ to n) from n = [], # σ < ⌜n⌝

Rule argument

var: σ

Additional information

Used simplifier rules: to-inf: ⊦ ⌜nf⌝ to n = ⌜nf to n⌝ ;%from-fin: ⊦ ⌜x⌝ from n = ⌜x from n⌝ ;%ton-fromn-inf: ⊦ (nf to n) from n = [];%empty: ⊦ ⌜[]⌝ = [];%stream freely generated by ⌜ ⌝, ⌜ ⌝;;