Theorem bj-alrim2 32684

Description: Uncurried (imported) form of bj-alrim 32683. (Contributed by BJ, 2-May-2019.)

Assertion

Ref	Expression
bj-alrim2	|- ( ( F/ x ph /\ A. x ( ph -> ps ) ) -> ( ph -> A. x ps ) )

Proof of Theorem bj-alrim2

Step	Hyp	Ref	Expression
1		bj-alrim 32683	. 2 |- ( F/ x ph -> ( A. x ( ph -> ps ) -> ( ph -> A. x ps ) ) )
2	1	imp 445	1 |- ( ( F/ x ph /\ A. x ( ph -> ps ) ) -> ( ph -> A. x ps ) )

Syntax hints:   -> wi 4   /\ wa 384   A.wal 1481   F/wnf 1708

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-12 2047

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

This theorem is referenced by: (None)