Theorems · Definition · category theory
GrpCat.adj
GrpCat.free ⊣ CategoryTheory.forget GrpCat
The free-forgetful adjunction for groups.
- Defined in
- Mathlib.Algebra.Category.Grp.Adjunctions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.symmproof · cited by 3,681
- MonoidHomstatement · cited by 3,629
- CategoryTheory.Adjunctionstatement · cited by 524
- CategoryTheory.forgetstatement · cited by 418
- Equiv.transproof · cited by 337
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierstatement · cited by 125
- FreeGroup.liftproof · cited by 32
- TypeCat.homEquivproof · cited by 4
- CategoryTheory.Adjunction.mkOfHomEquivproof · cited by 4
- CategoryTheory.ConcreteCategory.homEquivproof · cited by 1
- GrpCat.freestatement · cited by 0
Cited by0
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