Theorems · Definition · commutative algebra
RingCon.comap
{R : Type u_2} →
{R' : Type u_3} →
{F : Type u_4} →
[inst : Add R] →
[inst_1 : Add R'] →
[inst_2 : FunLike F R R'] →
[AddHomClass F R R'] →
[inst_4 : Mul R] → [inst_5 : Mul R'] → [MulHomClass F R R'] → RingCon R' → F → RingCon RPulling back a RingCon across a ring homomorphism.
- Defined in
- Mathlib.RingTheory.Congruence.Defs
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- RingConstatement and proof · cited by 219
- Conproof · cited by 152
- AddConproof · cited by 138
- MulHomClassstatement and proof · cited by 73
- AddHomClassstatement and proof · cited by 65
- RingCon.toConproof · cited by 36
- RingCon.toAddConproof · cited by 20
- Con.comapproof · cited by 15
Cited by41
Results whose statement or proof uses this declaration.
- RingCon.kerproof · cited by 47
- TwoSidedIdeal.comapproof · cited by 5
- RingCon.comapQuotientEquivRangestatement and proof · cited by 4
- RingCon.comapQuotientEquivRangeₐstatement and proof · cited by 4
- RingCon.comapQuotientEquivOfSurjstatement and proof · cited by 3
- RingCon.comapQuotientEquivRangeSstatement and proof · cited by 3
- RingCon.congrstatement and proof · cited by 3
- RingCon.comapQuotientEquivOfSurj_mkstatement and proof · cited by 2
- RingCon.congrₐstatement and proof · cited by 2
- RingCon.ker_compstatement · cited by 1
- RingCon.le_comap_ringConGenstatement · cited by 1
- RingCon.comap_monostatement and proof · cited by 1