Mathlib Map

Theorems · Theorem · group theory

Set.singleton_one

∀ {α : Type u_2} [inst : One α], {1} = 1
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
3 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
One
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Ideal.span_one · cited by 2Ideal.span_oneSet.mul_eq_one_iff · cited by 2Set.mul_eq_one_iffSet.singletonOneHom · cited by 1Set.singletonOneHomgroup_inseparable_iff · cited by 0group_inseparable_iffSet · cited by 53352SetSet.one · cited by 54Set.oneSet.singleton_oneCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement · cited by 53,352
  • Set.onestatement · cited by 54

Cited by4

Results whose statement or proof uses this declaration.