Description: A real number is less than or equal to its absolute value. (Contributed by NM, 2-Aug-1999)
Ref | Expression | ||
---|---|---|---|
Hypothesis | sqrtthi.1 | ⊢ 𝐴 ∈ ℝ | |
Assertion | leabsi | ⊢ 𝐴 ≤ ( abs ‘ 𝐴 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sqrtthi.1 | ⊢ 𝐴 ∈ ℝ | |
2 | leabs | ⊢ ( 𝐴 ∈ ℝ → 𝐴 ≤ ( abs ‘ 𝐴 ) ) | |
3 | 1 2 | ax-mp | ⊢ 𝐴 ≤ ( abs ‘ 𝐴 ) |