Theorems · Definition · category theory
commGrpTypeEquivalenceCommGrpForgetCommMon
CommGrpTypeEquivalenceCommGrp.functor.comp (CategoryTheory.forget₂ CommGrpCat CommMonCat) ≅ (CategoryTheory.CommGrp.forget₂CommMon (Type u)).comp CommMonTypeEquivalenceCommMon.functor
The equivalences CommMon (Type u) ≌ CommMonCat.{u} and CommGrp (Type u) ≌ CommGrpCat.{u}
are naturally compatible with the forgetful functors to GrpCat and Grp (Type u).
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- Foundations
- Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- MonoidHomstatement · cited by 3,629
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.forget₂statement and proof · cited by 260
- CategoryTheory.CommMonstatement · cited by 85
- CategoryTheory.CommGrpstatement · cited by 74
- CommGrpCatstatement and proof · cited by 74
- CommGrpCat.carrierstatement · cited by 59
- CommMonCatstatement and proof · cited by 51
- CommMonCat.carrierstatement · cited by 44
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