Theorem dfvd1imp 16486

Description: Left-to-right part of definition of virtual deduction.

Assertion

Ref	Expression
dfvd1imp	|- ( . ph   ⊢   ps . -> (ph -> ps))

Proof of Theorem dfvd1imp

Step	Hyp	Ref	Expression
1		df-vd1 16480	. 2 |- ( . ph   ⊢   ps . <-> (ph -> ps))
2	1	biimpi 168	1 |- ( . ph   ⊢   ps . -> (ph -> ps))

Syntax hints:   -> wi 3   . vd1 16479

This theorem is referenced by:  gen11 16511

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 164  df-vd1 16480

Copyright terms: Public domain