Mathlib Map

Theorems · Theorem · group theory

IsCentralScalar.unop_smul_eq_smul

∀ {M : Type u_9} {α : Type u_10} [inst : SMul M α] [inst_1 : SMul Mᵐᵒᵖ α] [IsCentralScalar M α] (m : Mᵐᵒᵖ) (a : α),
  MulOpposite.unop m • a = m • a
Defined in
Mathlib.Algebra.Group.Action.Defs
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
SMulSMulIsCentralScalar
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MulOpposite.unop_smul_eq_unop_smul_unop · cited by 0MulOpposite.unop_smul_eq_…IsCentralScalar.isLinearTopology_iff · cited by 0IsCentralScalar.isLinearT…MulOpposite · cited by 1135MulOppositeMulOpposite.op · cited by 520MulOpposite.opMulOpposite.unop · cited by 268MulOpposite.unopIsCentralScalar · cited by 39IsCentralScalarIsCentralScalar.op_smul_eq_smul · cited by 22IsCentralScalar.op_smul_e…MulOpposite.rec' · cited by 5MulOpposite.rec'IsCentralScalar.unop_smul_eq_…CITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.