Theorems · Theorem · ring theory
TwoSidedIdeal.matrix_jacobson_bot
∀ {R : Type u_1} [inst : Ring R] {n : Type u_2} [inst_1 : Fintype n] [inst_2 : DecidableEq n],
TwoSidedIdeal.matrix n ⊥.jacobson = ⊥.jacobson- Defined in
- Mathlib.LinearAlgebra.Matrix.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingFintypeDecidableEq
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Ringstatement and proof · cited by 7,463
- Bot.botstatement and proof · cited by 4,720
- Matrixstatement · cited by 4,303
- TwoSidedIdealstatement · cited by 151
- TwoSidedIdeal.matrixstatement · cited by 10
- TwoSidedIdeal.jacobsonstatement · cited by 4
- TwoSidedIdeal.matrix_botproof · cited by 1
- TwoSidedIdeal.jacobson_matrixproof · cited by 1
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