Theorem falnortru 1621

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

Assertion

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

Proof of Theorem falnortru

Step	Hyp	Ref	Expression
1		norcom 1560	. 2 ⊢ ((⊥ ⊽ ⊤) ↔ (⊤ ⊽ ⊥))
2		trunorfal 1620	. 2 ⊢ ((⊤ ⊽ ⊥) ↔ ⊥)
3	1, 2	bitri 278	1 ⊢ ((⊥ ⊽ ⊤) ↔ ⊥)

This proof depends on syntax axioms:   ↔ wb 209   ⊽ wnor 1558  ⊤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-nor 1559  df-tru 1573  df-fal 1583

This theorem is used by: (None)