Theorem exlimiieq2

Description: Inferring a theorem when it is implied by an equality which may be true. (Contributed by BJ, 15-Sep-2018) (Revised by BJ, 30-Sep-2018)

	Ref	Expression
Hypotheses	exlimiieq2.1	|- F/ y ph
	exlimiieq2.2	|- ( x = y -> ph )
Assertion	exlimiieq2	|- ph

Proof

Step	Hyp	Ref	Expression
1		exlimiieq2.1	|- F/ y ph
2		exlimiieq2.2	|- ( x = y -> ph )
3		ax6er	|- E. y x = y
4	1 2 3	exlimii	|- ph