Metamath Proof Explorer


Theorem wrdeqi

Description: Equality theorem for the set of words, inference form. (Contributed by AV, 23-May-2021)

Ref Expression
Hypothesis wrdeqi.1
|- S = T
Assertion wrdeqi
|- Word S = Word T

Proof

Step Hyp Ref Expression
1 wrdeqi.1
 |-  S = T
2 wrdeq
 |-  ( S = T -> Word S = Word T )
3 1 2 ax-mp
 |-  Word S = Word T