Theorems · Theorem · order theory
Set.restrict_piecewise_compl
Deprecated since 2026-07-19Use Set.domRestrict_piecewise_compl instead.
∀ {α : Type u_1} {β : Type u_2} (f g : α → β) (s : Set α) [inst : (x : α) → Decidable (x ∈ s)],
sᶜ.domRestrict (s.piecewise f g) = sᶜ.domRestrict gAlias of Set.domRestrict_piecewise_compl.
- Defined in
- Mathlib.Data.Set.Restrict
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Quot.sound
- Assumes
- Decidable
Around this declaration
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Cites6
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
- Compl.complstatement · cited by 2,925
- Set.domRestrictstatement · cited by 383
- Set.piecewisestatement · cited by 136
- Set.domRestrict_piecewise_complproof · cited by 3
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