syl34

Theorem. Inference joining two implications.

Description:

imim12i in set.mm

Arguments:

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

Hypotheses:

(chitotheta)
(phitopsi)

Assertions:

((psitochi)to(phitotheta))

Proof:

Hyp Ref Line Expr
Hypo1(chitotheta)
2(phitopsi)
1syl<3((psitochi)to(psitotheta))
2syl>4((psitotheta)to(phitotheta))
3, 4syl5((psitochi)to(phitotheta))