Theorem falortru 1578

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

Assertion

Ref	Expression
falortru	⊢ ((⊥ ∨ ⊤) ↔ ⊤)

Proof of Theorem falortru

Step	Hyp	Ref	Expression
1		tru 1543	. . 3 ⊢ ⊤
2	1	olci 864	. 2 ⊢ (⊥ ∨ ⊤)
3	2	bitru 1548	1 ⊢ ((⊥ ∨ ⊤) ↔ ⊤)

Syntax hints:   ↔ wb 205   ∨ wo 845  ⊤wtru 1540  ⊥wfal 1551

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 206  df-or 846  df-tru 1542

This theorem is referenced by: (None)