Theorem reccli

Description: Closure law for reciprocal. (Contributed by NM, 30-Apr-2005)

	Ref	Expression
Hypotheses	divclz.1	|- A e. CC
	reccl.2	|- A =/= 0
Assertion	reccli	|- ( 1 / A ) e. CC

Proof

Step	Hyp	Ref	Expression
1		divclz.1	|- A e. CC
2		reccl.2	|- A =/= 0
3	1	recclzi	|- ( A =/= 0 -> ( 1 / A ) e. CC )
4	2 3	ax-mp	|- ( 1 / A ) e. CC