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Theorem syli 33

Description: Syllogism inference with common nested antecedent. (Contributed by NM, 4-Nov-2004.)

Hypotheses

Ref	Expression
syli.1
syli.2

Assertion

Ref	Expression
syli

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Proof of Theorem syli

Step	Hyp	Ref	Expression
1		syli.1	. 2
2		syli.2	. . 3
3	2	com12 27	. 2
4	1, 3	sylcom 25	1

Colors of variables: wff setvar class

Syntax hints:   wi 4

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

This theorem is referenced by:  ibd  234  bija  344  eqpw1uni  4330  iss  5000  tz6.12c  5347

Copyright terms: Public domain

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