Theorems · Theorem · order theory
Set.BijOn.sdiff_singleton
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β} {f : α → β} {a : α},
Set.BijOn f s t → a ∈ s → Set.BijOn f (s \ {a}) (t \ {f a})- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.imageproof · cited by 5,609
- Set.image_singletonproof · cited by 174
- Set.BijOnstatement and proof · cited by 168
- Set.sdiff_subsetproof · cited by 156
- Set.BijOn.injOnproof · cited by 42
- Set.inter_eq_self_of_subset_rightproof · cited by 39
- Set.BijOn.image_eqproof · cited by 30
- Set.InjOn.image_sdiffproof · cited by 3
- Set.BijOn.subset_leftproof · cited by 1
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