Theorems · Theorem · number theory
NumberField.sign_discr
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K], (NumberField.discr K).sign = (-1) ^ NumberField.InfinitePlace.nrComplexPlaces K
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites47
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHomproof · cited by 10,189
- Equivproof · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- Complexproof · cited by 5,565
- Matrixproof · cited by 4,303
- Equiv.symmproof · cited by 3,681
- Unitsproof · cited by 2,804
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- Units.valproof · cited by 1,966
- starRingEndproof · cited by 671
Cited by1
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.discrproof · cited by 1