com12i

Theorem. Inference that swaps (commutes) antecedents in an implication.

Arguments:

phi (pr), psi (pr), chi (pr),

Hypotheses:

(phito(psitochi))

Assertions:

(psito(phitochi))

Proof:

Hyp Ref Line Expr
Hypo1(phito(psitochi))
ax12(psito(phitopsi))
1ax23((phitopsi)to(phitochi))
2, 3syl4(psito(phitochi))