Theorems · Theorem · ring theory
CompleteOrthogonalIdempotents.equiv
∀ {R : Type u_1} [inst : Semiring R] {I : Type u_3} {e : I → R} [inst_1 : Fintype I] {J : Type u_4} [inst_2 : Fintype J]
(i : J ≃ I), CompleteOrthogonalIdempotents (e ∘ ⇑i) ↔ CompleteOrthogonalIdempotents e- Defined in
- Mathlib.RingTheory.Idempotents
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Semiringstatement and proof · cited by 13,802
- Equivstatement and proof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- Fintype.sum_equivproof · cited by 35
- CompleteOrthogonalIdempotentsstatement · cited by 27
- OrthogonalIdempotentsproof · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- CompleteOrthogonalIdempotents.lift_of_isNilpotent_kerproof · cited by 2
- CompleteOrthogonalIdempotents.lift_of_isNilpotent_ker_auxproof · cited by 1