Theorems · Theorem · ring theory
TwoSidedIdeal.equivMatrix_symm_apply_ringCon
∀ {R : Type u_1} {n : Type u_2} [inst : NonAssocRing R] [inst_1 : Fintype n] [inst_2 : Nonempty n]
[inst_3 : DecidableEq n] (J : TwoSidedIdeal (Matrix n n R)),
(TwoSidedIdeal.equivMatrix.symm J).ringCon = J.ringCon.ofMatrix- Defined in
- Mathlib.LinearAlgebra.Matrix.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Equiv.symmstatement and proof · cited by 3,681
- NonAssocRingstatement and proof · cited by 483
- RingConstatement · cited by 219
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.ringConstatement and proof · cited by 40
- RingCon.ofMatrixstatement · cited by 6
- TwoSidedIdeal.equivMatrixstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.coe_equivMatrix_symm_applyproof · cited by 0