Theorem dfvd2impr 16505

Description: A 2-antecedent nested implication implies its virtual deduction form.

Assertion

Ref	Expression
dfvd2impr	|- ((ph -> (ps -> ch)) -> . ph, ps   ⊢   ch . )

Proof of Theorem dfvd2impr

Step	Hyp	Ref	Expression
1		dfvd2 16490	. 2 |- ( . ph, ps   ⊢   ch . <-> (ph -> (ps -> ch)))
2	1	biimpri 169	1 |- ((ph -> (ps -> ch)) -> . ph, ps   ⊢   ch . )

Syntax hints:   -> wi 3   . vd2 16488

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-an 242  df-vd2 16489

Copyright terms: Public domain