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Theorem sylbird 226

Description: A syllogism deduction. (Contributed by NM, 3-Aug-1994.)

Hypotheses

Ref	Expression
sylbird.1
sylbird.2

Assertion

Ref	Expression
sylbird

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Proof of Theorem sylbird

Step	Hyp	Ref	Expression
1		sylbird.1	. . 3
2	1	biimprd 214	. 2
3		sylbird.2	. 2
4	2, 3	syld 40	1

Colors of variables: wff setvar class

Syntax hints:   wi 4   wb 176

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8

This theorem depends on definitions:  df-bi 177

This theorem is referenced by:  3imtr3d  258  eqreu  3028  sfinltfin  4535  ov3  5599  erref  5959  enmap2lem3  6065  nenpw1pwlem2  6085  tlecg  6230  ce2le  6233  addcdi  6250  nchoicelem9  6297

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