Theorems · Theorem · combinatorics
Finset.image_sdiff
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] [inst_1 : DecidableEq α] {f : α → β} (s t : Finset α),
Function.Injective f → Finset.image f (s \ t) = Finset.image f s \ Finset.image f t- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDecidableEq
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
- SetLike.coeproof · cited by 8,199
- Set.imageproof · cited by 5,609
- Finset.imagestatement and proof · cited by 910
- Set.image_sdiffproof · cited by 24
Cited by3
Results whose statement or proof uses this declaration.
- Finset.smul_finset_sdiffproof · cited by 0
- Finset.smul_finset_sdiff₀proof · cited by 0
- Finset.vadd_finset_sdiffproof · cited by 0