Description: Bound-variable hypothesis builder for the negative of a complex number. (Contributed by NM, 12-Jun-2005) (Revised by Mario Carneiro, 15-Oct-2016)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | nfneg.1 | ⊢ Ⅎ 𝑥 𝐴 | |
| Assertion | nfneg | ⊢ Ⅎ 𝑥 - 𝐴 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nfneg.1 | ⊢ Ⅎ 𝑥 𝐴 | |
| 2 | 1 | a1i | ⊢ ( ⊤ → Ⅎ 𝑥 𝐴 ) |
| 3 | 2 | nfnegd | ⊢ ( ⊤ → Ⅎ 𝑥 - 𝐴 ) |
| 4 | 3 | mptru | ⊢ Ⅎ 𝑥 - 𝐴 |