Theorems · Theorem · group theory
AddCon.ker_mkAddHom_eq
∀ {M : Type u_1} [inst : Add M] (c : AddCon M), AddCon.ker c.mkAddHom = cThe kernel of the quotient map induced by an additive congruence
relation c equals c.
- Defined in
- Mathlib.GroupTheory.Congruence.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- Add
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddHomstatement · cited by 294
- AddConstatement and proof · cited by 138
- AddCon.Quotientstatement · cited by 54
- Quotient.eq''proof · cited by 44
- AddCon.kerstatement · cited by 24
- AddCon.extproof · cited by 8
- AddCon.mkAddHomstatement · cited by 2
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