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Theorem r3b 442

Description: Orthomodular law from weak equivalential detachment (WBMP).

Hypothesis

Ref	Expression
r3b.1

Assertion

Ref	Expression
r3b

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Proof of Theorem r3b

Step	Hyp	Ref	Expression
1		df-t 41	. . 3
2		r3b.1	. . 3
3	1, 2	ax-r2 36	. 2
4		1b 117	. 2
5	3, 4	wed 441	1

Colors of variables: term

Syntax hints:   wb 1  wn 4   tb 5   wo 6  wt 8

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38  ax-r3 439

This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42

This theorem is referenced by: (None)

Copyright terms: Public domain

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