Metamath Proof Explorer


Theorem tposeqi

Description: Equality theorem for transposition. (Contributed by Mario Carneiro, 10-Sep-2015)

Ref Expression
Hypothesis tposeqi.1 F=G
Assertion tposeqi tposF=tposG

Proof

Step Hyp Ref Expression
1 tposeqi.1 F=G
2 tposeq F=GtposF=tposG
3 1 2 ax-mp tposF=tposG