Theorem truanfal 1451

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

Assertion

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

Proof of Theorem truanfal

Step	Hyp	Ref	Expression
1		truan 1419	1 ⊢ ((⊤ ∧ ⊥) ↔ ⊥)

This proof depends on syntax axioms:   ∧ wa 104   ↔ wb 105  ⊤wtru 1403  ⊥wfal 1407

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This proof depends on definitions:  df-bi 117  df-tru 1405

This theorem is used by: (None)