Theorems · Theorem · category theory
Types.monoOverEquivalenceSet_inverse_map
∀ (α : Type u) {s t : Set α} (b : s ⟶ t),
(Types.monoOverEquivalenceSet α).inverse.map b = CategoryTheory.MonoOver.homMk (TypeCat.ofHom fun w => ⟨↑w, ⋯⟩) ⋯- Defined in
- Mathlib.CategoryTheory.Subobject.Types
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Over.leftstatement · cited by 541
- TypeCat.ofHomstatement · cited by 389
- CategoryTheory.MonoOverstatement · cited by 115
- CategoryTheory.Over.isMonostatement · cited by 111
- CategoryTheory.MonoOver.mkstatement · cited by 33
- CategoryTheory.MonoOver.homMkstatement · cited by 18
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