<imtrg

Theorem.

Arguments:

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

Hypotheses:

(tauleftrightarrowchi)
(thetaleftrightarrowpsi)
(phito(psitochi))

Assertions:

(phito(thetatotau))

Proof:

Hyp Ref Line Expr
Hypo1(tauleftrightarrowchi)
2(thetaleftrightarrowpsi)
3(phito(psitochi))
2ax14(phito(thetaleftrightarrowpsi))
1ax15(phito(tauleftrightarrowchi))
3, 4, 5<imtrd6(phito(thetatotau))