Quantum Logic Explorer		< Previous   Next > Nearby theorems
Mirrors  >  Home  >  QLE Home  >  Th. List  >  dp41		Unicode version

---

Theorem dp41 1193

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). (4)=>(1)

Hypotheses

Ref	Expression
dp41.1	c0 a1 a2 b1 b2
dp41.2	c1 a0 a2 b0 b2
dp41.3	c2 a0 a1 b0 b1
dp41.4	p2 a0 b0 a1 b1
dp41.5	p2 a2 b2

Assertion

Ref	Expression
dp41	c2 c0 c1

---

Proof of Theorem dp41

Step	Hyp	Ref	Expression
1		dp41.1	. 2 c0 a1 a2 b1 b2
2		dp41.2	. 2 c1 a0 a2 b0 b2
3		dp41.3	. 2 c2 a0 a1 b0 b1
4		id 59	. 2 a0 b0 a1 b1 a2 b2 a0 b0 a1 b1 a2 b2
5		dp41.4	. 2 p2 a0 b0 a1 b1
6		dp41.5	. 2 p2 a2 b2
7	1, 2, 3, 4, 5, 6	dp41lemm 1192	1 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: (None)

Copyright terms: Public domain

W3C validator