Theorem falimd 1378

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 1377	. 2 |- ( F. -> ps )
2	1	adantl 277	1 |- ( ( ph /\ F. ) -> ps )

Syntax hints:   -> wi 4   /\ wa 104   F. wfal 1368

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-in1 615  ax-in2 616

This theorem depends on definitions:  df-bi 117  df-tru 1366  df-fal 1369

This theorem is referenced by:  bj-axemptylem  14997