Theorems · Theorem · order theory
Set.domRestrict_comp_codRestrict
∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_5} {f : ι → α} {g : α → β} {b : Set α} (h : ∀ (x : ι), f x ∈ b),
b.domRestrict g ∘ Set.codRestrict f b h = g ∘ f- Defined in
- Mathlib.Data.Set.Restrict
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Set.domRestrictstatement · cited by 383
- Set.codRestrictstatement · cited by 48
Cited by2
Results whose statement or proof uses this declaration.
- Set.restrict_comp_codRestrictproof · cited by 0
- FiberPrebundle.inducing_totalSpaceMk_of_inducing_compproof · cited by 0