Theorem falnortru 1598

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

Assertion

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

Proof of Theorem falnortru

Step	Hyp	Ref	Expression
1		norcom 1537	. 2 ⊢ ((⊥ ⊽ ⊤) ↔ (⊤ ⊽ ⊥))
2		trunorfal 1597	. 2 ⊢ ((⊤ ⊽ ⊥) ↔ ⊥)
3	1, 2	bitri 276	1 ⊢ ((⊥ ⊽ ⊤) ↔ ⊥)

Syntax hints:   ↔ wb 207   ⊽ wnor 1535  ⊤wtru 1548  ⊥wfal 1559

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 208  df-or 854  df-nor 1536  df-tru 1550  df-fal 1560

This theorem is referenced by: (None)