Metamath Proof Explorer


Theorem axsep

Description: Axiom scheme of separation ax-sep derived from the axiom scheme of replacement ax-rep . The statement is identical to that of ax-sep , and therefore shows that ax-sep is redundant when ax-rep is allowed. See ax-sep for more information. (Contributed by NM, 11-Sep-2006) Use ax-sep instead. (New usage is discouraged.)

Ref Expression
Assertion axsep 𝑦𝑥 ( 𝑥𝑦 ↔ ( 𝑥𝑧𝜑 ) )

Proof

Step Hyp Ref Expression
1 axsepgfromrep 𝑦𝑥 ( 𝑥𝑦 ↔ ( 𝑥𝑧𝜑 ) )