Theorem a1tru 1491

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 1479	. 2 ⊢ ⊤
2	1	a1i 11	1 ⊢ (𝜑 → ⊤)

Syntax hints:   → wi 4  ⊤wtru 1476

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 196  df-tru 1478

This theorem is referenced by:  disjprg  4578  euotd  4900  elabrex  6405  riota5f  6535  mptexgf  28809  ac6s6  33150  lhpexle1  34312  cnvtrucl0  36950  rfovcnvf1od  37318  elabrexg  38229