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Theorems · Theorem · group theory

Units.eq_one

∀ {M : Type u_1} [inst : Monoid M] [Subsingleton Mˣ] (u : Mˣ), u = 1
Defined in
Mathlib.Algebra.Group.Units.Defs
Cited by
3 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
MonoidSubsingleton

Around this declaration

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

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
  • Unitsstatement and proof · cited by 2,804

Cited by3

Results whose statement or proof uses this declaration.