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Theorem dp53 1168

Description: Part of theorem from Alan Day and Doug Pickering, "A note on the Arguesian lattice identity," Studia Sci. Math. Hungar. 19:303-305 (1982). (5)=>(3)

Hypotheses

Ref	Expression
dp53.1	c0 a1 a2 b1 b2
dp53.2	c1 a0 a2 b0 b2
dp53.3	c2 a0 a1 b0 b1
dp53.4	a0 b0 a1 b1 a2 b2

Assertion

Ref	Expression
dp53	a0 b0 b1 c2 c0 c1

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Proof of Theorem dp53

Step	Hyp	Ref	Expression
1		dp53.1	. 2 c0 a1 a2 b1 b2
2		dp53.2	. 2 c1 a0 a2 b0 b2
3		dp53.3	. 2 c2 a0 a1 b0 b1
4		id 59	. 2 a1 b1 a2 b2 a1 b1 a2 b2
5		dp53.4	. 2 a0 b0 a1 b1 a2 b2
6	1, 2, 3, 4, 5	dp53lemg 1167	1 a0 b0 b1 c2 c0 c1

Colors of variables: term

Syntax hints:   wb 1   wle 2   wo 6   wa 7

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38  ax-ml 1120  ax-arg 1151

This theorem depends on definitions:  df-a 40  df-t 41  df-f 42  df-le1 130  df-le2 131

This theorem is referenced by:  dp35lemg  1169  dp34  1179  dp32  1194  oadp35lemg  1207

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