Theorems · Theorem · number theory
Northcott.finite_le
∀ {α : Type u_1} {β : Type u_2} {h : α → β} {inst : LE β} [self : Northcott h] (b : β), {a | h a ≤ b}.Finite- Defined in
- Mathlib.Order.Northcott
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Northcott
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement · cited by 6,101
- Set.Finitestatement · cited by 1,814
- Northcottstatement and proof · cited by 19
Cited by8
Results whose statement or proof uses this declaration.
- Northcott.exists_min_imageproof · cited by 2
- NumberField.finite_setOfPred_logHeight₁_leproof · cited by 1
- Monoid.finite_set_isOfFiniteOrder_of_descentproof · cited by 1
- Group.fg_of_descentproof · cited by 1
- AddMonoid.finite_set_isOfFiniteOrder_of_descentproof · cited by 1
- AddGroup.fg_of_descentproof · cited by 1
- Northcott.comp_of_bddAboveproof · cited by 0
- Northcott.comp_of_finite_fibersproof · cited by 0