Theorems · Theorem · order theory
Set.restrict_extend_compl_range
Deprecated since 2026-07-19Use Set.domRestrict_extend_compl_range instead.
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : α → β) (g : α → γ) (g' : β → γ),
(Set.range f)ᶜ.domRestrict (Function.extend f g g') = g' ∘ Subtype.valAlias of Set.domRestrict_extend_compl_range.
- Defined in
- Mathlib.Data.Set.Restrict
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 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 · cited by 4,705
- Compl.complstatement · cited by 2,925
- Set.domRestrictstatement · cited by 383
- Function.extendstatement · cited by 111
- Set.domRestrict_extend_compl_rangeproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.