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 tpos F = tpos G

Proof

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