Theorems · Theorem · linear algebra
LinearEquiv.mem_stabilizer_fixedSubmodule
∀ {R : Type u_1} [inst : Semiring R] {V : Type u_3} [inst_1 : AddCommMonoid V] [inst_2 : Module R V] (e : V ≃ₗ[R] V),
e ∈ MulAction.stabilizer (V ≃ₗ[R] V) (↑e).fixedSubmodule- Defined in
- Mathlib.LinearAlgebra.FixedSubmodule
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Submodulestatement · cited by 7,192
- Subgroupstatement · cited by 3,593
- LinearEquivstatement and proof · cited by 3,317
- le_reflproof · cited by 2,061
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- MulAction.stabilizerstatement · cited by 254
- Submodule.pointwiseDistribMulActionstatement · cited by 105
- LinearMap.fixedSubmodulestatement and proof · cited by 27
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