Theorem truanfal 1290

Description: A ∧ identity. (Contributed by Anthony Hart, 22-Oct-2010.)

Assertion

Ref	Expression
truanfal	⊢ (( ⊤ ∧ ⊥ ) ↔ ⊥ )

Proof of Theorem truanfal

Step	Hyp	Ref	Expression
1		truan 1259	1 ⊢ (( ⊤ ∧ ⊥ ) ↔ ⊥ )

Syntax hints:   ∧ wa 97   ↔ wb 98   ⊤ wtru 1243   ⊥ wfal 1247

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101

This theorem depends on definitions:  df-bi 110  df-tru 1245

This theorem is referenced by: (None)