Theorems · Theorem · combinatorics
Finset.mem_pimage
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] {f : α →. β} [inst_1 : (x : α) → Decidable (f x).Dom]
{s : Finset α} {b : β}, b ∈ Finset.pimage f s ↔ ∃ a ∈ s, b ∈ f a- Defined in
- Mathlib.Data.Finset.PImage
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDecidable
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
- Partstatement · cited by 325
- PFunstatement and proof · cited by 207
- Part.Domstatement and proof · cited by 145
- Finset.pimagestatement · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Finset.coe_pimageproof · cited by 2
- Finset.pimage_monoproof · cited by 0