Theorems · Theorem · number theory
NumberField.Units.torsionOrder_eq_two_of_odd_finrank
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K],
Odd (Module.finrank ℚ K) → NumberField.Units.torsionOrder K = 2- Cited by
- 0 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Finset.univproof · cited by 3,473
- Unitsproof · cited by 2,804
- Module.finrankstatement and proof · cited by 1,770
- NumberFieldstatement and proof · cited by 653
- Finset.extproof · cited by 565
- NumberField.RingOfIntegersproof · cited by 413
- Oddstatement and proof · cited by 364
- Finset.mem_univproof · cited by 361
- Fintype.ofFiniteproof · cited by 255
- Nat.card_eq_fintype_cardproof · cited by 200
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