Theorem falortru 1609

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

Assertion

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

Proof of Theorem falortru

Step	Hyp	Ref	Expression
1		tru 1574	. . 3 ⊢ ⊤
2	1	olci 880	. 2 ⊢ (⊥ ∨ ⊤)
3	2	bitru 1579	1 ⊢ ((⊥ ∨ ⊤) ↔ ⊤)

This proof depends on syntax axioms:   ↔ wb 209   ∨ wo 861  ⊤wtru 1571  ⊥wfal 1582

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 210  df-or 862  df-tru 1573

This theorem is used by: (None)