Theorems · Theorem · ring theory
isUnit_neg_one
∀ {α : Type u} [inst : Monoid α] [inst_1 : HasDistribNeg α], IsUnit (-1)- Defined in
- Mathlib.Algebra.Ring.Units
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- MonoidHasDistribNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement · cited by 1,602
- HasDistribNegstatement and proof · cited by 114
- isUnit_oneproof · cited by 48
- IsUnit.negproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.charpoly_mul_comm'proof · cited by 2
- ZMod.eq_one_or_isUnit_sub_oneproof · cited by 1
- IsPrimitiveRoot.prime_dvd_of_dvd_norm_sub_oneproof · cited by 1
- Polynomial.roots_comp_neg_Xproof · cited by 0