Theorems · Theorem · linear algebra
Module.Basis.mulOpposite_apply
∀ {R : Type u_1} {H : Type u_2} {ι : Type u_3} [inst : Semiring R] [inst_1 : AddCommMonoid H] [inst_2 : Module R H]
(b : Module.Basis ι R H) (i : ι), b.mulOpposite i = MulOpposite.op (b i)- Defined in
- Mathlib.LinearAlgebra.Basis.MulOpposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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Cites8
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- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Module.Basisstatement and proof · cited by 1,477
- MulOppositestatement · cited by 1,135
- MulOpposite.opstatement · cited by 520
- Module.Basis.mulOppositestatement · cited by 7
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