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Theorems · Theorem · group theory

AddSubmonoid.copy_eq

∀ {M : Type u_1} [inst : AddZeroClass M] {S : AddSubmonoid M} {s : Set M} (hs : s = ↑S), S.copy s hs = S
Defined in
Mathlib.Algebra.Group.Submonoid.Defs
Cited by
1 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
AddZeroClass
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Around this declaration

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

AddMonoidHom.mrange_eq_map · cited by 15AddMonoidHom.mrange_eq_mapSet · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidSetLike.coe_injective · cited by 374SetLike.coe_injectiveAddSubmonoid.copy · cited by 3AddSubmonoid.copyAddSubmonoid.copy_eqCITED BYCITES

Cites6

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Cited by1

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