Theorems · Definition · order theory
SignType.cast
{α : Type u_1} → [Zero α] → [One α] → [Neg α] → SignType → αTurn a SignType into zero, one, or minus one. This is a coercion instance.
- Defined in
- Mathlib.Data.Sign.Defs
- Cited by
- 76 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SignTypestatement and proof · cited by 318
Cited by79
Results whose statement or proof uses this declaration.
- Matrix.IsTotallyUnimodularproof · cited by 22
- SignType.coe_negstatement and proof · cited by 19
- Affine.Simplex.ExcenterExists.dist_excenterproof · cited by 6
- hasDerivAt_absstatement · cited by 5
- signedDist_smulstatement and proof · cited by 5
- SignType.castHomproof · cited by 5
- HasFDerivAt.hasFDerivAt_norm_smulstatement and proof · cited by 4
- Matrix.isTotallyUnimodular_iffstatement and proof · cited by 3
- self_mul_signstatement and proof · cited by 3
- SignType.coe_onestatement · cited by 3
- EReal.sign_mul_absstatement and proof · cited by 3
- Affine.Simplex.ExcenterExists.signedInfDist_excenterstatement and proof · cited by 3