Theorem falnortru 1620

Description: A ⊽ identity. (Contributed by Remi, 25-Oct-2023.)

Assertion

Ref	Expression
falnortru	⊢ ((⊥ ⊽ ⊤) ↔ ⊥)

Proof of Theorem falnortru

Step	Hyp	Ref	Expression
1		norcom 1559	. 2 ⊢ ((⊥ ⊽ ⊤) ↔ (⊤ ⊽ ⊥))
2		trunorfal 1619	. 2 ⊢ ((⊤ ⊽ ⊥) ↔ ⊥)
3	1, 2	bitri 278	1 ⊢ ((⊥ ⊽ ⊤) ↔ ⊥)

This proof depends on syntax axioms:   ↔ wb 209   ⊽ wnor 1557  ⊤wtru 1570  ⊥wfal 1581

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 861  df-nor 1558  df-tru 1572  df-fal 1582

This theorem is used by: (None)