Theorem itgeq2i

Description: Equality inference for an integral. (Contributed by GG, 1-Sep-2025)

	Ref	Expression
Hypothesis	itgeq2i.1	⊢ 𝐵 = 𝐶
Assertion	itgeq2i	⊢ ∫ 𝐴 𝐵 d 𝑥 = ∫ 𝐴 𝐶 d 𝑥

Proof

Step	Hyp	Ref	Expression
1		itgeq2i.1	⊢ 𝐵 = 𝐶
2		eqid	⊢ 𝐴 = 𝐴
3	2 1	itgeq12i	⊢ ∫ 𝐴 𝐵 d 𝑥 = ∫ 𝐴 𝐶 d 𝑥