Theorems · Definition · category theory
monTypeEquivalenceMon
CategoryTheory.Mon (Type u) ≌ MonCat
The category of internal monoid objects in Type
is equivalent to the category of "native" bundled monoids.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- Equivproof · cited by 8,337
- CategoryTheory.Functor.idproof · cited by 3,333
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Equivalencestatement · cited by 601
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xproof · cited by 329
- Equiv.reflproof · cited by 274
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- MonCatstatement and proof · cited by 127
- MulEquiv.toMonCatIsoproof · cited by 2
- MonTypeEquivalenceMon.functorproof · cited by 0
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