Theorems · Theorem · order theory
Set.domRestrict_extend_range
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : α → β) (g : α → γ) (g' : β → γ),
(Set.range f).domRestrict (Function.extend f g g') = fun x => g (Exists.choose ⋯)- Defined in
- Mathlib.Data.Set.Restrict
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- Set.domRestrictstatement · cited by 383
- Function.extendstatement · cited by 111
- Subtype.coe_propstatement · cited by 42
- Set.domRestrict_diteproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MeasurableEmbedding.measurable_extendproof · cited by 1
- Set.restrict_extend_rangeproof · cited by 0