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Theorems · Definition · group theory

Con.gi

(M : Type u_1) → [inst : Mul M] → GaloisInsertion conGen DFunLike.coe

There is a Galois insertion of congruence relations on a type with a multiplication M into binary relations on M.

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

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

Con.sSup_def · cited by 1Con.sSup_defCon.conGen_monotone · cited by 1Con.conGen_monotoneCon.conGen_of_con · cited by 1Con.conGen_of_conCon.sup_def · cited by 1Con.sup_defCon.conGen_iSup · cited by 0Con.conGen_iSupCon.conGen_idem · cited by 0Con.conGen_idemCon.conGen_sSup · cited by 0Con.conGen_sSupCon.conGen_sup · cited by 0Con.conGen_supDFunLike.coe · cited by 62936DFunLike.coeCon · cited by 152ConGaloisInsertion · cited by 35GaloisInsertionconGen · cited by 23conGenCon.conGen_le · cited by 2Con.conGen_leCon.giCITED BYCITES

Cites5

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Cited by8

Results whose statement or proof uses this declaration.