3syl

Theorem. Inference chaining two syllogisms.

Arguments:

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

Hypotheses:

(chitotheta)
(psitochi)
(phitopsi)

Assertions:

(phitotheta)

Proof:

Hyp Ref Line Expr
Hypo1(chitotheta)
2(psitochi)
3(phitopsi)
2, 3syl4(phitochi)
1, 4syl5(phitotheta)