Metamath Proof Explorer


Theorem nn0xnn0d

Description: A standard nonnegative integer is an extended nonnegative integer, deduction form. (Contributed by AV, 10-Dec-2020)

Ref Expression
Hypothesis nn0xnn0d.1
|- ( ph -> A e. NN0 )
Assertion nn0xnn0d
|- ( ph -> A e. NN0* )

Proof

Step Hyp Ref Expression
1 nn0xnn0d.1
 |-  ( ph -> A e. NN0 )
2 nn0ssxnn0
 |-  NN0 C_ NN0*
3 2 1 sselid
 |-  ( ph -> A e. NN0* )