Theorem wcomcom 396

Description: Commutation is symmetric. Kalmbach 83 p. 22.

Hypothesis

Ref	Expression
wcomcom.1	C (a, b) = 1

Assertion

Ref	Expression
wcomcom	C (b, a) = 1

Proof of Theorem wcomcom

Step	Hyp	Ref	Expression
1		cmtrcom 182	. 2 C (b, a) = C (a, b)
2		wcomcom.1	. 2 C (a, b) = 1
3	1, 2	ax-r2 35	1 C (b, a) = 1

Syntax hints:   = wb 1  1wt 9   C wcmtr 28

This theorem is referenced by:  wcomcom3 398  wcom3ii 401  wfh2 406  wcom2or 409  wnbdi 411  ska2 414  ska4 415  woml6 418

This theorem was proved from axioms:  ax-a2 30  ax-a3 31  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37

This theorem depends on definitions:  df-a 39  df-cmtr 126

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