Metamath Proof Explorer


Theorem nndivred

Description: A positive integer is one or greater. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypotheses nndivred.1 φA
nndivred.2 φB
Assertion nndivred φAB

Proof

Step Hyp Ref Expression
1 nndivred.1 φA
2 nndivred.2 φB
3 nndivre ABAB
4 1 2 3 syl2anc φAB