Metamath Proof Explorer

Theorem nn0nepnfd

Description: No standard nonnegative integer equals positive infinity, deduction form. (Contributed by AV, 10-Dec-2020)

Ref Expression
Hypothesis nn0xnn0d.1 
|- ( ph -> A e. NN0 )
Assertion nn0nepnfd 
|- ( ph -> A =/= +oo )

Proof

Step Hyp Ref Expression
1 nn0xnn0d.1 
 |-  ( ph -> A e. NN0 )
2 nn0nepnf 
 |-  ( A e. NN0 -> A =/= +oo )
3 1 2 syl 
 |-  ( ph -> A =/= +oo )