Theorems · Definition · commutative algebra
RingCon.toAddCon
{R : Type u_1} → [inst : Add R] → [inst_1 : Mul R] → RingCon R → AddCon RThe induced additive congruence from a RingCon.
- Defined in
- Mathlib.RingTheory.Congruence.Defs
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingConstatement and proof · cited by 219
- AddConstatement · cited by 138
- Con.toSetoidproof · cited by 38
- RingCon.toConproof · cited by 36
- RingCon.add'proof · cited by 2
Cited by22
Results whose statement or proof uses this declaration.
- RingCon.comapproof · cited by 32
- RingCon.liftproof · cited by 16
- RingCon.rangeS_liftproof · cited by 2
- RingCon.listSumproof · cited by 1
- RingCon.subproof · cited by 1
- RingCon.multisetSumproof · cited by 1
- RingCon.negproof · cited by 1
- RingCon.finsetSumproof · cited by 1
- RingCon.range_liftproof · cited by 1
- RingCon.matrix_ofMatrixproof · cited by 0
- RingCon.coe_dfinsuppSumproof · cited by 0
- RingCon.coe_dfinsuppSumAddHomstatement and proof · cited by 0