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Metamath Proof Explorer

Theorem falimd

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

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

Proof

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