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Theorems · Theorem · group theory

MulAction.one_smul

∀ {α : Type u_9} {β : Type u_10} {inst : Monoid α} [self : MulAction α β] (b : β), 1 • b = b

One is the neutral element for

Defined in
Mathlib.Algebra.Group.Action.Defs
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
MulAction

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
  • MulActionstatement and proof · cited by 1,294

Cited by1

Results whose statement or proof uses this declaration.