Theorems · Theorem · logic and foundations
PFun.mem_dom
∀ {α : Type u_1} {β : Type u_2} (f : α →. β) (x : α), x ∈ f.Dom ↔ ∃ y, y ∈ f x- Defined in
- Mathlib.Data.PFun
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Partstatement · cited by 325
- PFunstatement and proof · cited by 207
- PFun.Domstatement · cited by 28
Cited by2
Results whose statement or proof uses this declaration.
- PFun.compl_dom_subset_coreproof · cited by 1
- PFun.dom_eqproof · cited by 0