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Proof step 7 from proof elim-fromto (previous step)

⌜x⌝ = ⌜x0⌝ + σ1, # x0 ≤ # x ⊦ x0 = x to # x0 ∧ σ1 = ⌜x from # x0⌝

User applied rule constructor cut

And obtained the following new goals

Proof step 8:
σ1 = ⌜x1⌝ , ⌜x⌝ = ⌜x0⌝ + σ1, # x0 ≤ # x ⊦ x0 = x to # x0 ∧ σ1 = ⌜x from # x0⌝
Proof step 9:
σ1 = ⌜nf⌝ , ⌜x⌝ = ⌜x0⌝ + σ1, # x0 ≤ # x ⊦ x0 = x to # x0 ∧ σ1 = ⌜x from # x0⌝

Rule argument

var: σ1

Additional information

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