Metamath Proof Explorer

Theorem nnrecred

Description: The reciprocal of a positive integer is real. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis nnge1d.1 φ A
Assertion nnrecred φ 1 A


Step Hyp Ref Expression
1 nnge1d.1 φ A
2 nnrecre A 1 A
3 1 2 syl φ 1 A