Theorems · Theorem · group theory
MulOpposite.unop_smul_eq_unop_smul_unop
∀ {M : Type u_1} {α : Type u_3} [inst : SMul M α] [inst_1 : SMul Mᵐᵒᵖ α] [IsCentralScalar M α] (r : Mᵐᵒᵖ) (a : αᵐᵒᵖ),
MulOpposite.unop (r • a) = MulOpposite.unop r • MulOpposite.unop a- Defined in
- Mathlib.Algebra.Group.Action.Opposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- SMulSMulIsCentralScalar
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.unopstatement and proof · cited by 268
- IsCentralScalarstatement and proof · cited by 39
- IsCentralScalar.unop_smul_eq_smulproof · cited by 2
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