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Theorems · Definition · group theory

AddCon.gi

(M : Type u_1) → [inst : Add M] → GaloisInsertion addConGen DFunLike.coe

There is a Galois insertion of additive congruence relations on a type with an addition M into binary relations on M.

Defined in
Mathlib.GroupTheory.Congruence.Defs
Cited by
5 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Quot.sound
Assumes
Add
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddCon.sSup_def · cited by 1AddCon.sSup_defAddCon.addConGen_monotone · cited by 1AddCon.addConGen_monotoneAddCon.addConGen_of_addCon · cited by 1AddCon.addConGen_of_addConAddCon.sup_def · cited by 1AddCon.sup_defAddCon.addConGen_idem · cited by 0AddCon.addConGen_idemDFunLike.coe · cited by 62936DFunLike.coeAddCon · cited by 138AddConGaloisInsertion · cited by 35GaloisInsertionaddConGen · cited by 28addConGenAddCon.addConGen_le · cited by 2AddCon.addConGen_leAddCon.giCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.