Theorems · Definition · group theory
Con.correspondence
{M : Type u_1} → [inst : Mul M] → {c : Con M} → { d // c ≤ d } ≃o Con c.QuotientGiven a congruence relation c on a type M with a multiplication, the order-preserving
bijection between the set of congruence relations containing c and the congruence relations
on the quotient of M by c.
- Defined in
- Mathlib.GroupTheory.Congruence.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- Mul
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.
- OrderIsostatement · cited by 874
- Constatement and proof · cited by 152
- Con.Quotientstatement and proof · cited by 48
- Con.toQuotientproof · cited by 33
- Con.comapproof · cited by 15
- Con.mkMulHomproof · cited by 2
- Con.mapOfSurjectiveproof · cited by 1
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