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Proof step 2 from proof shift-03 (previous step)

⊦ perm(x + a ' + x0, y) ↔ a ∈ y ∧ perm(x + x0, y -1l a)

User applied rule cut formula

And obtained the following new goals

Proof step 3:
a ∈ y ⊦ perm(x + a ' + x0, y) ↔ a ∈ y ∧ perm(x + x0, y -1l a)
Proof step 15:
⊦ a ∈ y, perm(x + a ' + x0, y) ↔ a ∈ y ∧ perm(x + x0, y -1l a)

Rule argument

fma: a ∈ y

Additional information

Used formulas: a ∈ y