Theorem ditgeq3i

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

	Ref	Expression
Hypothesis	ditgeq3i.1	$$⊢C=D$$
Assertion	ditgeq3i	$$⊢{\int }_A^{B}Cdx={\int }_A^{B}Ddx$$

Proof

Step	Hyp	Ref	Expression
1		ditgeq3i.1	$$⊢C=D$$
2		eqid	$$⊢A=A$$
3		eqid	$$⊢B=B$$
4	2 3 1	ditgeq123i	$$⊢{\int }_A^{B}Cdx={\int }_A^{B}Ddx$$