Theorems · Definition · group theory
AddCon.quotientQuotientEquivQuotient
{M : Type u_1} →
[inst : AddZeroClass M] → (c d : AddCon M) → (h : c ≤ d) → (AddCon.ker (c.map d h)).Quotient ≃+ d.QuotientThe third isomorphism theorem for AddMonoids.
- Defined in
- Mathlib.GroupTheory.Congruence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClass
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.
- Equivproof · cited by 8,337
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddEquivstatement · cited by 1,087
- AddConstatement and proof · cited by 138
- AddCon.Quotientstatement · cited by 54
- Setoid.kerproof · cited by 43
- AddCon.kerstatement · cited by 24
- AddCon.toSetoidproof · cited by 20
- AddCon.mapstatement · cited by 1
- Setoid.quotientQuotientEquivQuotientproof · cited by 0
- Quot.mapRightproof · cited by 0
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