Theorem parteq1i

Description: Equality theorem for partition, inference version. (Contributed by Peter Mazsa, 5-Oct-2021)

	Ref	Expression
Hypothesis	parteq1i.1	$$⊢R=S$$
Assertion	parteq1i	$$⊢RPartA\leftrightarrow SPartA$$

Proof

Step	Hyp	Ref	Expression
1		parteq1i.1	$$⊢R=S$$
2		parteq1	$$⊢R=S\to \left(RPartA\leftrightarrow SPartA\right)$$
3	1 2	ax-mp	$$⊢RPartA\leftrightarrow SPartA$$