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Proof step 4 from proof papp-03 (previous step)

perm(x + y, x0 + y0), perm(x, x0), perm(x0, x), perm(x0 + y0, x + y) ⊦ perm(y, y0)

User applied rule cut formula

And obtained the following new goals

Proof step 5:
perm(x + y, x0 + y0), perm(x, x0), perm(x0, x), perm(x0 + y0, x + y) ⊦ perm(x + y, x + y0), perm(y, y0)

Rule argument

fma: perm(x + y, x + y0)

Additional information

Used simplifier rules: app: ⊦ perm(x + y, x + z) ↔ perm(y, z);%neq: ⊦ perm(x, y) ∧ ¬ perm(x0, y) → x ≠ x0;%sym-01: ⊦ perm(x, y) → perm(y, x);%a: ⊦ (x + y) + z = x + y + z; from specification list Used formulas: perm(x + y, x + y0)