Theorems · Definition · group theory
Con.toSetoid
{M : Type u_1} → [inst : Mul M] → Con M → Setoid MThe equivalence relation underlying a multiplicative congruence relation.
- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Constatement and proof · cited by 152
Cited by54
Results whose statement or proof uses this declaration.
- RingCon.Quotientproof · cited by 118
- Con.Quotientproof · cited by 48
- RingCon.toAddConproof · cited by 20
- Con.comapproof · cited by 15
- RingCon.reflproof · cited by 10
- PresentedMonoid.mkproof · cited by 7
- Con.reflproof · cited by 5
- RingCon.opproof · cited by 4
- Con.symmproof · cited by 4
- RingCon.symmproof · cited by 3
- RingCon.transproof · cited by 3
- RingCon.unopproof · cited by 3