Theorem dfvd3i 16496

Description: Inference form of dfvd3 16495.

Hypothesis

Ref	Expression
dfvd3i.1	|- . ph, ps, ch   ⊢   th .

Assertion

Ref	Expression
dfvd3i	|- (ph -> (ps -> (ch -> th)))

Proof of Theorem dfvd3i

Step	Hyp	Ref	Expression
1		dfvd3i.1	. 2 |- . ph, ps, ch   ⊢   th .
2		dfvd3 16495	. 2 |- ( . ph, ps, ch   ⊢   th . <-> (ph -> (ps -> (ch -> th))))
3	1, 2	mpbi 206	1 |- (ph -> (ps -> (ch -> th)))

Syntax hints:   -> wi 3   . vd3 16493

This theorem is referenced by:  in3 16508  e333 16601  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-3an 860  df-vd3 16494

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