Theorem exlimiieq1

Description: Inferring a theorem when it is implied by an equality which may be true. (Contributed by BJ, 30-Sep-2018)

	Ref	Expression
Hypotheses	exlimiieq1.1	|- F/ x ph
	exlimiieq1.2	|- ( x = y -> ph )
Assertion	exlimiieq1	|- ph

Proof

Step	Hyp	Ref	Expression
1		exlimiieq1.1	|- F/ x ph
2		exlimiieq1.2	|- ( x = y -> ph )
3		ax6e	|- E. x x = y
4	1 2 3	exlimii	|- ph