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Proof step 14 from proof elim-fromto (previous step)

⌜nf⌝ = ⌜x⌝ + σ1 ⊦ x = nf to # x ∧ σ1 = ⌜nf from # x⌝

User applied rule constructor cut

And obtained the following new goals

Proof step 15:
σ1 = ⌜x0⌝ , ⌜nf⌝ = ⌜x⌝ + σ1 ⊦ x = nf to # x ∧ σ1 = ⌜nf from # x⌝
Proof step 16:
σ1 = ⌜nf0⌝ , ⌜nf⌝ = ⌜x⌝ + σ1 ⊦ x = nf to # x ∧ σ1 = ⌜nf from # x⌝

Rule argument

var: σ1

Additional information

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