Description: A number divided by 1 is itself. (Contributed by NM, 9-Jan-2002)
Ref | Expression | ||
---|---|---|---|
Hypothesis | divclz.1 | ⊢ 𝐴 ∈ ℂ | |
Assertion | div1i | ⊢ ( 𝐴 / 1 ) = 𝐴 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | divclz.1 | ⊢ 𝐴 ∈ ℂ | |
2 | div1 | ⊢ ( 𝐴 ∈ ℂ → ( 𝐴 / 1 ) = 𝐴 ) | |
3 | 1 2 | ax-mp | ⊢ ( 𝐴 / 1 ) = 𝐴 |