Theorem allt 32400

Description: For all sets, ⊤ is true. (Contributed by Anthony Hart, 13-Sep-2011.)

Assertion

Ref	Expression
allt	⊢ ∀𝑥⊤

Proof of Theorem allt

Step	Hyp	Ref	Expression
1		tru 1487	. 2 ⊢ ⊤
2	1	ax-gen 1722	1 ⊢ ∀𝑥⊤

Syntax hints:  ∀wal 1481  ⊤wtru 1484

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722

This theorem depends on definitions:  df-bi 197  df-tru 1486

This theorem is referenced by:  extt  32403