Theorem falimd 1499

Description: The truth value F. implies anything. (Contributed by Mario Carneiro, 9-Feb-2017.)

Assertion

Ref	Expression
falimd	|- ( ( ph /\ F. ) -> ps )

Proof of Theorem falimd

Step	Hyp	Ref	Expression
1		falim 1498	. 2 |- ( F. -> ps )
2	1	adantl 482	1 |- ( ( ph /\ F. ) -> ps )

Syntax hints:   -> wi 4   /\ wa 384   F. wfal 1488

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-an 386  df-tru 1486  df-fal 1489

This theorem is referenced by: (None)