Metamath Proof Explorer


Theorem wl-luk-id

Description: Principle of identity. Theorem *2.08 of WhiteheadRussell p. 101. Copy of id with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)

Ref Expression
Assertion wl-luk-id
|- ( ph -> ph )

Proof

Step Hyp Ref Expression
1 ax-luk3
 |-  ( ph -> ( -. ph -> ph ) )
2 ax-luk2
 |-  ( ( -. ph -> ph ) -> ph )
3 1 2 wl-luk-syl
 |-  ( ph -> ph )