Theorem a1tru 1500

Description: Anything implies ⊤. (Contributed by FL, 20-Mar-2011.) (Proof shortened by Anthony Hart, 1-Aug-2011.)

Assertion

Ref	Expression
a1tru	⊢ (𝜑 → ⊤)

Proof of Theorem a1tru

Step	Hyp	Ref	Expression
1		tru 1487	. 2 ⊢ ⊤
2	1	a1i 11	1 ⊢ (𝜑 → ⊤)

Syntax hints:   → wi 4  ⊤wtru 1484

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 197  df-tru 1486

This theorem is referenced by:  disjprg  4648  euotd  4975  mptexgf  6485  elabrex  6501  riota5f  6636  ac6s6  33980  lhpexle1  35294  cnvtrucl0  37931  rfovcnvf1od  38298  elabrexg  39206