Theorems · Theorem · real analysis
Real.sign_of_pos
∀ {r : ℝ}, 0 < r → r.sign = 1- Defined in
- Mathlib.Data.Real.Sign
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- LT.lt.not_gtproof · cited by 54
- Real.signstatement · cited by 13
Cited by8
Results whose statement or proof uses this declaration.
- Real.sign_apply_eqproof · cited by 1
- Real.sign_eq_zero_iffproof · cited by 1
- Real.sign_mul_nonnegproof · cited by 1
- Real.sign_negproof · cited by 0
- Real.sign_oneproof · cited by 0
- Real.sign_apply_eq_of_ne_zeroproof · cited by 0
- Real.sign_intCastproof · cited by 0
- Real.sign_invproof · cited by 0