Theorems · Theorem · ring theory
RingCon.coe_ofMatrix_eq_relationMap
∀ {R : Type u_1} {n : Type u_2} [inst : NonAssocSemiring R] [inst_1 : Fintype n] [inst_2 : DecidableEq n]
{c : RingCon (Matrix n n R)} (i j : n), ⇑c.ofMatrix = Relation.Map (⇑c) (fun x => x i j) fun x => x i j- Defined in
- Mathlib.LinearAlgebra.Matrix.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Matrixstatement and proof · cited by 4,303
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- NonAssocSemiringstatement and proof · cited by 805
- RingConstatement and proof · cited by 219
- Matrix.singleproof · cited by 129
- Relation.Mapstatement and proof · cited by 40
- Matrix.single_apply_sameproof · cited by 16
- RingCon.reflproof · cited by 10
- RingCon.mulproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.coe_equivMatrix_symm_applyproof · cited by 0