Theorem dfvd2imp 16504

Description: The virtual deduction form of a 2-antecedent nested implication implies the 2-antecedent nested implication.

Assertion

Ref	Expression
dfvd2imp	|- ( . ph, ps   ⊢   ch . -> (ph -> (ps -> ch)))

Proof of Theorem dfvd2imp

Step	Hyp	Ref	Expression
1		dfvd2 16490	. 2 |- ( . ph, ps   ⊢   ch . <-> (ph -> (ps -> ch)))
2	1	biimpi 168	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

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