Theorems · Theorem · ring theory
TwoSidedIdeal.asIdeal_matrix
∀ {R : Type u_1} (n : Type u_2) [inst : Ring R] [inst_1 : Fintype n] [inst_2 : DecidableEq n] (I : TwoSidedIdeal R),
TwoSidedIdeal.asIdeal (TwoSidedIdeal.matrix n I) = Ideal.matrix n (TwoSidedIdeal.asIdeal I)- Defined in
- Mathlib.LinearAlgebra.Matrix.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingFintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Ringstatement and proof · cited by 7,463
- Idealstatement · cited by 4,748
- Matrixstatement and proof · cited by 4,303
- OrderHomstatement · cited by 934
- TwoSidedIdealstatement and proof · cited by 151
- Ideal.extproof · cited by 131
- TwoSidedIdeal.asIdealstatement and proof · cited by 13
- TwoSidedIdeal.matrixstatement · cited by 10
- Ideal.matrixstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.jacobson_matrixproof · cited by 1