Theorems · Theorem · order theory
Finite.exists_le
∀ {ι : Sort u_1} {α : Type u_2} [Finite ι] [Nonempty α] [inst : Preorder α] [IsDirectedOrder α] (f : ι → α),
∃ M, ∀ (i : ι), f i ≤ M- Defined in
- Mathlib.Data.Fintype.Order
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Finitestatement and proof · cited by 3,029
- IsDirectedOrderstatement and proof · cited by 316
- directed_idproof · cited by 7
- Directed.finite_leproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Finite.bddAbove_rangeproof · cited by 11
- MeasureTheory.MemLp.of_discreteproof · cited by 0
- MeasureTheory.eLpNorm_lt_top_of_finiteproof · cited by 0
- PiLp.iSup_edist_ne_top_auxproof · cited by 0