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Metamath Proof Explorer

Theorem rereccli

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

Step	Hyp	Ref	Expression
1		redivcl.1	$⊢ A \in ℝ$
2		rereccl.2	$⊢ A \neq 0$
3	1	rerecclzi	$⊢ A \neq 0 \to \frac{1}{A} \in ℝ$
4	2 3	ax-mp	$⊢ \frac{1}{A} \in ℝ$