Theorem itgeq1i

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

	Ref	Expression
Hypothesis	itgeq1i.1	⊢ 𝐴 = 𝐵
Assertion	itgeq1i	⊢ ∫ 𝐴 𝐶 d 𝑥 = ∫ 𝐵 𝐶 d 𝑥

Proof

Step	Hyp	Ref	Expression
1		itgeq1i.1	⊢ 𝐴 = 𝐵
2		eqid	⊢ 𝐶 = 𝐶
3	1 2	itgeq12i	⊢ ∫ 𝐴 𝐶 d 𝑥 = ∫ 𝐵 𝐶 d 𝑥