Metamath Proof Explorer


Theorem xnegeqi

Description: Equality of two extended numbers with -e in front of them. (Contributed by Glauco Siliprandi, 2-Jan-2022)

Ref Expression
Hypothesis xnegeqi.1
|- A = B
Assertion xnegeqi
|- -e A = -e B

Proof

Step Hyp Ref Expression
1 xnegeqi.1
 |-  A = B
2 xnegeq
 |-  ( A = B -> -e A = -e B )
3 1 2 ax-mp
 |-  -e A = -e B