Description: Plus infinity is an upper bound for extended reals. (Contributed by Glauco Siliprandi, 5-Feb-2022)
Ref | Expression | ||
---|---|---|---|
Hypothesis | pnfged.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℝ* ) | |
Assertion | pnfged | ⊢ ( 𝜑 → 𝐴 ≤ +∞ ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pnfged.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℝ* ) | |
2 | pnfge | ⊢ ( 𝐴 ∈ ℝ* → 𝐴 ≤ +∞ ) | |
3 | 1 2 | syl | ⊢ ( 𝜑 → 𝐴 ≤ +∞ ) |