Metamath Proof Explorer


Theorem ttceqi

Description: Equality inference for transitive closure. (Contributed by Matthew House, 6-Apr-2026)

Ref Expression
Hypothesis ttceqi.1
|- A = B
Assertion ttceqi
|- TC+ A = TC+ B

Proof

Step Hyp Ref Expression
1 ttceqi.1
 |-  A = B
2 ttceq
 |-  ( A = B -> TC+ A = TC+ B )
3 1 2 ax-mp
 |-  TC+ A = TC+ B