Metamath Proof Explorer


Theorem re1tbw1

Description: tbw-ax1 rederived from merco2 . (Contributed by Anthony Hart, 16-Aug-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion re1tbw1 φψψχφχ

Proof

Step Hyp Ref Expression
1 mercolem8 φψψφχφψψχφχ
2 mercolem3 ψχψφχ
3 mercolem6 φψψφχφψψχφχψφχφψψχφχ
4 1 2 3 mpsyl ψχφψψχφχ
5 mercolem6 ψχφψψχφχφψψχφχ
6 4 5 ax-mp φψψχφχ