Theorem wr3 190

Description: Weak R3.

Hypothesis

Ref	Expression
wr3.1	(1 ≡ a) = 1

Assertion

Ref	Expression
wr3	a = 1

Proof of Theorem wr3

Step	Hyp	Ref	Expression
1		1b 109	. . 3 (1 ≡ a) = a
2	1	ax-r1 34	. 2 a = (1 ≡ a)
3		wr3.1	. 2 (1 ≡ a) = 1
4	2, 3	ax-r2 35	1 a = 1

Syntax hints:   = wb 1   ≡ tb 5  1wt 9

This theorem is referenced by:  wwbmp 197  wdf-c1 365

This theorem was proved from axioms:  ax-a1 29  ax-a2 30  ax-a4 32  ax-a5 33  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37

This theorem depends on definitions:  df-b 38  df-a 39  df-t 40  df-f 41

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