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Proof step 2 from proof perm-01 (previous step)

⊦ perm(a ' + sort(x), y) ↔ perm(a ' + x, y)

User applied rule cut formula

And obtained the following new goals

Proof step 3:
perm(a ' + sort(x), a ' + x) ⊦ perm(a ' + sort(x), y) ↔ perm(a ' + x, y)

Rule argument

fma: perm(a ' + sort(x), a ' + x)

Additional information

Used simplifier rules: perm: ⊦ perm(sort(x), y) ↔ perm(x, y);%cons: ⊦ perm(a ' + x, a ' + y) ↔ perm(x, y); from specification list-perm%ref: ⊦ perm(x, x); from specification list-perm%a: ⊦ (x + y) + z = x + y + z; from specification list Used formulas: perm(a ' + sort(x), a ' + x)