Theorems · Theorem · combinatorics
Finset.image_eq_image_iff_of_injOn
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] {f : α → β} {s s₁ s₂ : Finset α},
Set.InjOn f ↑s → s₁ ⊆ s → s₂ ⊆ s → (Finset.image f s₁ = Finset.image f s₂ ↔ s₁ = s₂)Variant of Finset.image_inj under an InjOn rather than Injective hypothesis.
- 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
- DecidableEq
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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.coestatement and proof · cited by 8,199
- Finset.imagestatement · cited by 910
- Set.InjOnstatement and proof · cited by 543
- Set.InjOn.image_eq_image_iffproof · cited by 8
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