Description: Identity law for subtraction. (Contributed by NM, 29-May-1999)
Ref | Expression | ||
---|---|---|---|
Hypothesis | negidi.1 | ⊢ 𝐴 ∈ ℂ | |
Assertion | subid1i | ⊢ ( 𝐴 − 0 ) = 𝐴 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | negidi.1 | ⊢ 𝐴 ∈ ℂ | |
2 | subid1 | ⊢ ( 𝐴 ∈ ℂ → ( 𝐴 − 0 ) = 𝐴 ) | |
3 | 1 2 | ax-mp | ⊢ ( 𝐴 − 0 ) = 𝐴 |