Theorem ax8v2 1995

Description: Second of two weakened versions of ax8v 1993, with an extra dv condition on y , z see comments there. (Contributed by BJ, 7-Dec-2020.)

Assertion

Ref	Expression
ax8v2	|- ( x = y -> ( x e. z -> y e. z ) )

Distinct variable groups:   x, y   y, z

Proof of Theorem ax8v2

Step	Hyp	Ref	Expression
1		ax8v 1993	1 |- ( x = y -> ( x e. z -> y e. z ) )

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-8 1992

This theorem is referenced by:  ax8  1996  bj-ax9-2  32891