Theorem falnortru 1589

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

Assertion

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

Proof of Theorem falnortru

Step	Hyp	Ref	Expression
1		norcom 1521	. 2 ⊢ ((⊥ ⊽ ⊤) ↔ (⊤ ⊽ ⊥))
2		trunorfal 1587	. 2 ⊢ ((⊤ ⊽ ⊥) ↔ ⊥)
3	1, 2	bitri 277	1 ⊢ ((⊥ ⊽ ⊤) ↔ ⊥)

Syntax hints:   ↔ wb 208   ⊽ wnor 1519  ⊤wtru 1537  ⊥wfal 1548

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 209  df-or 844  df-nor 1520  df-tru 1539  df-fal 1549

This theorem is referenced by: (None)