Metamath Proof Explorer


Theorem ax5d

Description: Version of ax-5 with antecedent. Useful in proofs of deduction versions of bound-variable hypothesis builders. (Contributed by NM, 1-Mar-2013)

Ref Expression
Assertion ax5d
|- ( ph -> ( ps -> A. x ps ) )

Proof

Step Hyp Ref Expression
1 ax-5
 |-  ( ps -> A. x ps )
2 1 a1i
 |-  ( ph -> ( ps -> A. x ps ) )