Theorem bdtru 17024

Description: The truth value ⊤ is bounded. (Contributed by BJ, 3-Oct-2019.)

Assertion

Ref	Expression
bdtru	⊢ BOUNDED ⊤

Proof of Theorem bdtru

Step	Hyp	Ref	Expression
1		tru 1406	. 2 ⊢ ⊤
2	1	bdth 17023	1 ⊢ BOUNDED ⊤

This proof depends on syntax axioms:  ⊤wtru 1403  BOUNDED wbd 17004

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-bd0 17005  ax-bdim 17006  ax-bdeq 17012

This proof depends on definitions:  df-bi 117  df-tru 1405

This theorem is used by:  bdfal  17025  bdnthALT  17027