Metamath Proof Explorer


Theorem biantrur

Description: A wff is equivalent to its conjunction with truth. (Contributed by NM, 3-Aug-1994)

Ref Expression
Hypothesis biantrur.1
|- ph
Assertion biantrur
|- ( ps <-> ( ph /\ ps ) )

Proof

Step Hyp Ref Expression
1 biantrur.1
 |-  ph
2 1 biantru
 |-  ( ps <-> ( ps /\ ph ) )
3 2 biancomi
 |-  ( ps <-> ( ph /\ ps ) )