Theorem trud 1380

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

Assertion

Ref	Expression
trud	⊢ (𝜑 → ⊤)

Proof of Theorem trud

Step	Hyp	Ref	Expression
1		tru 1368	. 2 ⊢ ⊤
2	1	a1i 9	1 ⊢ (𝜑 → ⊤)

Syntax hints:   → wi 4  ⊤wtru 1365

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This theorem depends on definitions:  df-bi 117  df-tru 1367

This theorem is referenced by:  euotd  4287  elabrex  5804  elabrexg  5805  riota5f  5902  bj-nn0suc0  15596