Theorems · Theorem · logic and foundations
PFun.dom_iff_graph
∀ {α : Type u_1} {β : Type u_2} (f : α →. β) (x : α), x ∈ f.Dom ↔ ∃ y, (x, y) ∈ f.graph- Defined in
- Mathlib.Data.PFun
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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
- PFunstatement and proof · cited by 207
- PFun.Domstatement · cited by 28
- Part.dom_iff_memproof · cited by 6
- PFun.graphstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Dioph.dom_diophproof · cited by 0