Theorem bj-nfs1v 32759

Description: Version of nfsb2 2360 with a dv condition, which does not require ax-13 2246, and removal of ax-13 2246 from nfs1v 2437. (Contributed by BJ, 24-Jun-2019.) (Proof modification is discouraged.)

Assertion

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

Distinct variable group:   x, y

Allowed substitution hints:   ph( x, y)

Proof of Theorem bj-nfs1v

Step	Hyp	Ref	Expression
1		bj-hbs1 32758	. 2 |- ( [ y / x ] ph -> A. x [ y / x ] ph )
2	1	nf5i 2024	1 |- F/ x [ y / x ] ph

Syntax hints:   F/wnf 1708   [wsb 1880

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-5 1839  ax-6 1888  ax-7 1935  ax-10 2019  ax-12 2047

This theorem depends on definitions:  df-bi 197  df-or 385  df-an 386  df-ex 1705  df-nf 1710  df-sb 1881

This theorem is referenced by: (None)