Theorems · Definition · category theory
CategoryTheory.Grp.trivial
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] → CategoryTheory.Grp CThe trivial group object.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.Monproof · cited by 465
- CategoryTheory.Mon.Xproof · cited by 329
- CategoryTheory.Grpstatement · cited by 144
- CategoryTheory.Mon.trivialproof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Grp.trivial_grp_onestatement · cited by 0
- CategoryTheory.Grp.trivial_Xstatement and proof · cited by 0
- CategoryTheory.Grp.trivial_grp_invstatement · cited by 0
- CategoryTheory.Grp.trivial_grp_mulstatement · cited by 0
- CategoryTheory.Grp.isZero_trivialstatement and proof · cited by 0