Theorems · Theorem · real analysis
Real.sign_eq_zero_iff
∀ {r : ℝ}, r.sign = 0 ↔ r = 0- Defined in
- Mathlib.Data.Real.Sign
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- one_ne_zeroproof · cited by 885
- lt_trichotomyproof · cited by 178
- neg_eq_zeroproof · cited by 171
- Real.signstatement and proof · cited by 13
- Real.sign_of_posproof · cited by 8
- Real.sign_of_negproof · cited by 7
- Real.sign_zeroproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Real.sign_mul_pos_of_ne_zeroproof · cited by 0