Theorems · Theorem · order theory
sign_one
∀ {α : Type u_1} [inst : Semiring α] [inst_1 : PartialOrder α] [IsOrderedRing α] [inst_3 : DecidableLT α]
[Nontrivial α], SignType.sign 1 = 1- Defined in
- Mathlib.Data.Sign.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- Nontrivialstatement and proof · cited by 2,416
- OrderHomstatement · cited by 934
- IsOrderedRingstatement and proof · cited by 777
- zero_lt_oneproof · cited by 598
- SignTypestatement · cited by 318
- SignType.signstatement · cited by 128
- sign_posproof · cited by 49
Cited by2
Results whose statement or proof uses this declaration.
- Real.Angle.sign_coe_pi_div_twoproof · cited by 48
- Real.Angle.sign_coe_neg_pi_div_twoproof · cited by 0