Theorems · Theorem · combinatorics
Finset.image_sdiff_of_injOn
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] {f : α → β} {s : Finset α} [inst_1 : DecidableEq α]
{t : Finset α}, Set.InjOn f ↑s → t ⊆ s → Finset.image f (s \ t) = Finset.image f s \ Finset.image f t- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 0 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.
Cites7
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.coestatement and proof · cited by 8,199
- Set.imageproof · cited by 5,609
- Finset.imagestatement and proof · cited by 910
- Set.InjOnstatement and proof · cited by 543
- Finset.coe_subsetproof · cited by 93
- Set.image_sdiff_of_injOnproof · cited by 2
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