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Theorems · Theorem · group theory

AddSubgroup.zmultiples_zero_eq_bot

∀ {G : Type u_1} [inst : AddGroup G], AddSubgroup.zmultiples 0 = ⊥
Defined in
Mathlib.Algebra.Group.Subgroup.ZPowers.Basic
Cited by
2 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroup
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Around this declaration

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

LinearOrderedAddCommGroup.Subgroup.exists_neg_generator · cited by 2Subgroup.exists_neg_gener…AddCircle.norm_eq_of_zero · cited by 2AddCircle.norm_eq_of_zeroBot.bot · cited by 4720Bot.botAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.zmultiples · cited by 493AddSubgroup.zmultiplesAddSubgroup.zmultiples_eq_bot · cited by 5AddSubgroup.zmultiples_eq…AddSubgroup.zmultiples_zero_e…CITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.