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