Theorems · Theorem · logic and foundations
PFun.core_eq
∀ {α : Type u_1} {β : Type u_2} (f : α →. β) (s : Set β), f.core s = f.preimage s ∪ f.Domᶜ- Defined in
- Mathlib.Data.PFun
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- Compl.complstatement and proof · cited by 2,925
- PFunstatement and proof · cited by 207
- Set.inter_univproof · cited by 198
- Set.union_commproof · cited by 99
- PFun.Domstatement and proof · cited by 28
- Set.union_eq_self_of_subset_rightproof · cited by 25
- PFun.preimagestatement · cited by 18
- PFun.corestatement and proof · cited by 16
- Set.compl_union_selfproof · cited by 13
- Set.inter_union_distrib_rightproof · cited by 4
- PFun.preimage_eqproof · cited by 2
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