Theorems · Inductive type · group theory
AddCon
(M : Type u_1) → [Add M] → Type u_1
A congruence relation on a type with an addition is an equivalence relation which preserves addition.
- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 138 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by193
Results whose statement or proof uses this declaration.
- AddCon.Quotientstatement and proof · cited by 54
- AddCon.toQuotientstatement and proof · cited by 38
- RingCon.comapproof · cited by 32
- addConGenstatement · cited by 28
- AddCon.kerstatement · cited by 24
- AddCon.mk'statement and proof · cited by 21
- AddCon.toSetoidstatement and proof · cited by 20
- RingCon.toAddConstatement · cited by 20
- AddLocalization.rstatement and proof · cited by 14
- AddCon.comapstatement and proof · cited by 14
- AddCon.liftstatement and proof · cited by 14
- AddCon.eqstatement and proof · cited by 9