Theorems · Definition · logic and foundations
PFun.core
{α : Type u_1} → {β : Type u_2} → (α →. β) → Set β → Set αCore of a set s : Set β with respect to a partial function f : α →. β. Set of all a : α
such that f a ∈ s, if f a is defined.
- Defined in
- Mathlib.Data.PFun
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- PFunstatement and proof · cited by 207
- SetRel.coreproof · cited by 19
- PFun.graph'proof · cited by 11
Cited by16
Results whose statement or proof uses this declaration.
- PFun.preimage_eqstatement and proof · cited by 2
- PFun.preimage_subset_corestatement · cited by 2
- Filter.ptendsto_defstatement · cited by 2
- PFun.mem_core_resstatement · cited by 1
- PFun.compl_dom_subset_corestatement · cited by 1
- PFun.core_resstatement · cited by 1
- Filter.mem_pmapstatement · cited by 0
- PFun.mem_corestatement · cited by 0
- PFun.core_restrictstatement · cited by 0
- PFun.core_defstatement · cited by 0
- PFun.core_eqstatement and proof · cited by 0
- ptendsto_nhdsstatement · cited by 0