Description: Plus infinity is an upper bound for extended reals. (Contributed by Glauco Siliprandi, 5-Feb-2022)
Ref | Expression | ||
---|---|---|---|
Hypothesis | pnfged.1 | |- ( ph -> A e. RR* ) |
|
Assertion | pnfged | |- ( ph -> A <_ +oo ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pnfged.1 | |- ( ph -> A e. RR* ) |
|
2 | pnfge | |- ( A e. RR* -> A <_ +oo ) |
|
3 | 1 2 | syl | |- ( ph -> A <_ +oo ) |