Theorems · Theorem · number theory
NumberField.FinitePlace.hasFiniteMulSupport
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] {x : K}, x ≠ 0 → Function.HasFiniteMulSupport fun w => w x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- nonZeroDivisorsproof · cited by 895
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersproof · cited by 413
- Function.HasFiniteMulSupportstatement and proof · cited by 99
- map_div₀proof · cited by 98
- NumberField.FinitePlacestatement and proof · cited by 35
- IsFractionRing.div_surjectiveproof · cited by 22
- NumberField.FinitePlace.hasFiniteMulSupport_intproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.FinitePlace.mulSupport_finiteproof · cited by 0