syl

Theorem. An inference version of the transitive laws for implication.

Arguments:

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

Hypotheses:

(psitochi)
(phitopsi)

Assertions:

(phitochi)

Proof:

Hyp Ref Line Expr
Hypo1(psitochi)
2(phitopsi)
1ax13(phito(psitochi))
3ax24((phitopsi)to(phitochi))
2, 4ax-mp5(phitochi)