Theorem ifpbiidcor 37819

Description: Restatement of biid 251. (Contributed by RP, 25-Apr-2020.)

Assertion

Ref	Expression
ifpbiidcor	|- if- ( ph , ph , -. ph )

Proof of Theorem ifpbiidcor

Step	Hyp	Ref	Expression
1		biid 251	. 2 |- ( ph <-> ph )
2		ifpdfbi 37818	. 2 |- ( ( ph <-> ph ) <-> if- ( ph , ph , -. ph ) )
3	1, 2	mpbi 220	1 |- if- ( ph , ph , -. ph )

Syntax hints:   -. wn 3   <-> wb 196  if-wif 1012

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-or 385  df-an 386  df-ifp 1013  df-tru 1486

This theorem is referenced by:  ifpbiidcor2  37828