Metamath Proof Explorer


Theorem bj-nfs1v

Description: Version of nfsb2 with a disjoint variable condition, which does not require ax-13 , and removal of ax-13 from nfs1v . (Contributed by BJ, 24-Jun-2019) (Proof modification is discouraged.)

Ref Expression
Assertion bj-nfs1v
|- F/ x [ y / x ] ph

Proof

Step Hyp Ref Expression
1 bj-hbs1
 |-  ( [ y / x ] ph -> A. x [ y / x ] ph )
2 1 nf5i
 |-  F/ x [ y / x ] ph