Theorem bj-ax6elem2

Description: Lemma for bj-ax6e . (Contributed by BJ, 22-Dec-2020) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-ax6elem2	$$⊢\forall xy=z\to \exists xx=y$$

Proof

Step	Hyp	Ref	Expression
1		ax6ev	$$⊢\exists xx=z$$
2		equeucl	$$⊢x=z\to \left(y=z\to x=y\right)$$
3	1 2	eximii	$$⊢\exists x\left(y=z\to x=y\right)$$
4	3	19.35i	$$⊢\forall xy=z\to \exists xx=y$$