Metamath Proof Explorer


Theorem falimfal

Description: A -> identity. (Contributed by Anthony Hart, 22-Oct-2010) An alternate proof is possible using falim instead of id but the present proof using id emphasizes that the result does not require the principle of explosion. (Proof modification is discouraged.)

Ref Expression
Assertion falimfal
|- ( ( F. -> F. ) <-> T. )

Proof

Step Hyp Ref Expression
1 id
 |-  ( F. -> F. )
2 1 bitru
 |-  ( ( F. -> F. ) <-> T. )