Theorem dfvd2i 16491

Description: Inference form of dfvd2 16490.

Hypothesis

Ref	Expression
dfvd2i.1	|- . ph, ps   ⊢   ch .

Assertion

Ref	Expression
dfvd2i	|- (ph -> (ps -> ch))

Proof of Theorem dfvd2i

Step	Hyp	Ref	Expression
1		dfvd2i.1	. 2 |- . ph, ps   ⊢   ch .
2		dfvd2 16490	. 2 |- ( . ph, ps   ⊢   ch . <-> (ph -> (ps -> ch)))
3	1, 2	mpbi 206	1 |- (ph -> (ps -> ch))

Syntax hints:   -> wi 3   . vd2 16488

This theorem is referenced by:  vd23 16503  in2 16506  gen21 16514  gen21nv 16515  gen22 16516  e2 16521  e222 16526  e233 16632  e323 16633

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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