Theorems · Theorem · combinatorics
Finset.image_const
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] {s : Finset α},
s.Nonempty → ∀ (b : β), Finset.image (fun x => b) s = {b}- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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.
- Finsetstatement and proof · cited by 13,712
- Finset.Nonemptystatement and proof · cited by 1,001
- Finset.imagestatement · cited by 910
- Set.Nonempty.image_constproof · cited by 26
- Finset.coe_nonemptyproof · cited by 18
Cited by5
Results whose statement or proof uses this declaration.
- SimpleGraph.minDegree_of_subsingletonproof · cited by 6
- SimpleGraph.maxDegree_of_subsingletonproof · cited by 5
- SimpleGraph.IsRegularOfDegree.maxDegree_eqproof · cited by 1
- SimpleGraph.IsRegularOfDegree.minDegree_eqproof · cited by 1
- Finset.extract_gcdproof · cited by 1