Theorems · Theorem · general topology
AddCircle.card_addOrderOf_eq_totient
∀ {𝕜 : Type u_1} [inst : Field 𝕜] (p : 𝕜) [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜] [hp : Fact (0 < p)] {n : ℕ},
Nat.card { u // addOrderOf u = n } = n.totient- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Factstatement and proof · cited by 2,726
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Nat.cardstatement and proof · cited by 844
- IsEmptyproof · cited by 759
- AddSubgroup.zmultiplesstatement · cited by 493
- Infiniteproof · cited by 352
- addOrderOfstatement and proof · cited by 208
- AddCirclestatement and proof · cited by 189
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