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Theorems · Theorem · group theory

AddCon.sup_def

∀ {M : Type u_1} [inst : Add M] (c d : AddCon M), c ⊔ d = addConGen (⇑c ⊔ ⇑d)

The supremum of two additive congruence relations equals the smallest additive congruence relation containing the supremum of the underlying binary operations.

Defined in
Mathlib.GroupTheory.Congruence.Defs
Cited by
1 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Add
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AddCon.sup_eq_addConGen · cited by 0AddCon.sup_eq_addConGenDFunLike.coe · cited by 62936DFunLike.coeAddCon · cited by 138AddConaddConGen · cited by 28addConGenGaloisInsertion.l_sup_u · cited by 11GaloisInsertion.l_sup_uAddCon.gi · cited by 5AddCon.giAddCon.sup_defCITED BYCITES

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Cited by1

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