Theorems · Inductive type · group theory
Con
(M : Type u_1) → [Mul M] → Type u_1
A congruence relation on a type with a multiplication is an equivalence relation which preserves multiplication.
- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 152 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- Mul
Around this declaration
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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 by207
Results whose statement or proof uses this declaration.
- Con.Quotientstatement and proof · cited by 48
- Con.toSetoidstatement and proof · cited by 38
- RingCon.toConstatement · cited by 36
- Con.toQuotientstatement and proof · cited by 33
- RingCon.comapproof · cited by 32
- Con.kerstatement · cited by 24
- conGenstatement · cited by 23
- Con.mk'statement and proof · cited by 22
- Localization.rstatement and proof · cited by 16
- Con.comapstatement and proof · cited by 15
- Con.liftstatement and proof · cited by 12
- Con.eqstatement and proof · cited by 9
Showing the 200 most cited of 207.