g:IGroup, a, b, c:|g|. ((a * c) = (b * c)  |g|)  (a = b) 

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Up	groups 1
Definitions of Statement	IMonoid, IGroup
Definitions	, t  T, x f y, P  Q, x:A. B(x), P  Q, P & Q, P  Q, IMonoid, IGroup
Lemmas	igrp wf, grp op wf, grp car wf, grp inv wf, grp op r, mon ident, grp inverse, mon assoc