Mathlib Map

Theorems · Theorem · group theory

isUnit_of_subsingleton

∀ {M : Type u_1} [inst : Monoid M] [Subsingleton M] (a : M), IsUnit a
Defined in
Mathlib.Algebra.Group.Units.Basic
Cited by
9 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
MonoidSubsingleton
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DirichletCharacter.modOne_eq_one · cited by 4DirichletCharacter.modOne…isUnit_zero_iff · cited by 4isUnit_zero_iffriemannZeta_eq_exp_LSeries · cited by 1riemannZeta_eq_exp_LSeriesHahnSeries.isUnit_of_orderTop_pos · cited by 1HahnSeries.isUnit_of_orde…Polynomial.IsDistinguishedAt.isWeierstrassDivisorAt' · cited by 1IsDistinguishedAt.isWeier…ArithmeticFunction.LSeries_zeta_eulerProduct_exp_log · cited by 1ArithmeticFunction.LSerie…DirichletCharacter.LFunctionTrivChar_eq_mul_riemannZeta · cited by 1DirichletCharacter.LFunct…Ideal.Quotient.isUnit_mk_pow_of_notMem · cited by 0Quotient.isUnit_mk_pow_of…IsStrictlyPositive.of_subsingleton · cited by 0IsStrictlyPositive.of_sub…Monoid · cited by 3887MonoidIsUnit · cited by 1602IsUnitisUnit_of_subsingletonCITED BYCITES

Cites2

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

Cited by9

Results whose statement or proof uses this declaration.