Theorems · Theorem · ring theory
TwoSidedIdeal.matrix_bot
∀ {R : Type u_1} (n : Type u_2) [inst : NonUnitalNonAssocRing R] [inst_1 : Fintype n], TwoSidedIdeal.matrix n ⊥ = ⊥- Defined in
- Mathlib.LinearAlgebra.Matrix.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRingFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Bot.botstatement and proof · cited by 4,720
- Matrixstatement · cited by 4,303
- NonUnitalNonAssocRingstatement and proof · cited by 354
- TwoSidedIdealstatement · cited by 151
- TwoSidedIdeal.matrixstatement and proof · cited by 10
- TwoSidedIdeal.ringCon_injectiveproof · cited by 3
- RingCon.matrix_botproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.matrix_jacobson_botproof · cited by 0