Theorems · Inductive type · commutative algebra
RingCon
(R : Type u_1) → [Add R] → [Mul R] → Type u_1
A congruence relation on a type with an addition and multiplication is an equivalence relation which preserves both.
- Defined in
- Mathlib.RingTheory.Congruence.Defs
- Cited by
- 219 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
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 by273
Results whose statement or proof uses this declaration.
- RingCon.Quotientstatement and proof · cited by 118
- RingCon.toQuotientstatement and proof · cited by 69
- DividedPowerAlgebra.ringConstatement · cited by 49
- RingCon.kerstatement · cited by 47
- TwoSidedIdeal.ringConstatement · cited by 40
- RingCon.toConstatement and proof · cited by 36
- RingCon.comapstatement and proof · cited by 32
- TensorAlgebra.symRingConstatement · cited by 27
- RingCon.mk'statement and proof · cited by 23
- RingCon.mkₐstatement and proof · cited by 21
- RingCon.toAddConstatement and proof · cited by 20
- ringConGenstatement · cited by 18
Showing the 200 most cited of 273.