Theorems · Definition · commutative algebra
RingCon.gi
(R : Type u_3) → [inst : Add R] → [inst_1 : Mul R] → GaloisInsertion ringConGen DFunLike.coe
There is a Galois insertion of congruence relations on a type with multiplication and addition
R into binary relations on R.
- Defined in
- Mathlib.RingTheory.Congruence.Basic
- Cited by
- 10 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.
Cites5
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
- RingConstatement and proof · cited by 219
- GaloisInsertionstatement · cited by 35
- ringConGenstatement and proof · cited by 18
- RingCon.ringConGen_leproof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- RingCon.mapGen_eq_map_of_surjectiveproof · cited by 1
- RingCon.ringConGen_monotoneproof · cited by 1
- TwoSidedIdeal.span_leproof · cited by 1
- RingCon.sSup_defproof · cited by 1
- RingCon.sup_defproof · cited by 1
- RingCon.ringConGen_iSupproof · cited by 0
- RingCon.ringConGen_idemproof · cited by 0
- RingCon.ringConGen_of_ringConproof · cited by 0
- RingCon.ringConGen_sSupproof · cited by 0
- RingCon.ringConGen_supproof · cited by 0