Theorems · Theorem · commutative algebra
RingCon.le_comap_ringConGen
∀ {R : Type u_3} {R' : Type u_4} [inst : Add R] [inst_1 : Mul R] [inst_2 : Add R'] [inst_3 : Mul R'] {F : Type u_5}
[inst_4 : FunLike F R' R] [inst_5 : MulHomClass F R' R] [inst_6 : AddHomClass F R' R] (r : R → R → Prop) (f : F),
ringConGen (Function.onFun r ⇑f) ≤ (ringConGen r).comap f- Defined in
- Mathlib.RingTheory.Congruence.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- Function.onFunstatement and proof · cited by 570
- RingConstatement · cited by 219
- MulHomClassstatement and proof · cited by 73
- AddHomClassstatement and proof · cited by 65
- RingCon.comapstatement · cited by 32
- ringConGenstatement · cited by 18
- RingCon.ringConGen_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- RingCon.comap_ringConGen_ringEquivproof · cited by 0