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