Theorem eqtr3OLD

Description: Obsolete version of eqtr3 as of 24-Oct-2024. (Contributed by NM, 20-May-2005) (New usage is discouraged.) (Proof modification is discouraged.)

	Ref	Expression
Assertion	eqtr3OLD	$$⊢\left(A=C\wedge B=C\right)\to A=B$$

Proof

Step	Hyp	Ref	Expression
1		eqcom	$$⊢B=C\leftrightarrow C=B$$
2		eqtr	$$⊢\left(A=C\wedge C=B\right)\to A=B$$
3	1 2	sylan2b	$$⊢\left(A=C\wedge B=C\right)\to A=B$$