Theorem altopeq2

Description: Equality for alternate ordered pairs. (Contributed by Scott Fenton, 22-Mar-2012)

	Ref	Expression
Assertion	altopeq2	$$⊢A=B\to ⟪C,A⟫=⟪C,B⟫$$

Proof

Step	Hyp	Ref	Expression
1		eqid	$$⊢C=C$$
2		altopeq12	$$⊢\left(C=C\wedge A=B\right)\to ⟪C,A⟫=⟪C,B⟫$$
3	1 2	mpan	$$⊢A=B\to ⟪C,A⟫=⟪C,B⟫$$