Theorems · Theorem · ring theory
CompleteOrthogonalIdempotents.unique_iff
∀ {R : Type u_1} [inst : Semiring R] {I : Type u_3} {e : I → R} [inst_1 : Fintype I] [inst_2 : Unique I],
CompleteOrthogonalIdempotents e ↔ e default = 1- Defined in
- Mathlib.RingTheory.Idempotents
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Fintypestatement and proof · cited by 7,736
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Uniquestatement and proof · cited by 400
- IsIdempotentElemproof · cited by 217
- CompleteOrthogonalIdempotentsstatement · cited by 27
- IsIdempotentElem.oneproof · cited by 7
- Fintype.sum_uniqueproof · cited by 6
- completeOrthogonalIdempotents_iffproof · cited by 2
- OrthogonalIdempotents.uniqueproof · cited by 1
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