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Theorems · Theorem · group theory

QuotientAddGroup.mk_zero

∀ {G : Type u_1} [inst : AddGroup G] (N : AddSubgroup G) [nN : N.Normal], ↑0 = 0
Defined in
Mathlib.GroupTheory.QuotientGroup.Defs
Cited by
10 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddSubgroup.Normal
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Around this declaration

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

Orientation.oangle_self · cited by 17Orientation.oangle_selfAddCircle.toCircle_zero · cited by 9AddCircle.toCircle_zerobernoulliFourierCoeff_recurrence · cited by 2bernoulliFourierCoeff_rec…fourier_eval_zero · cited by 2fourier_eval_zerohasSum_one_div_pow_mul_fourier_mul_bernoulliFun · cited by 1hasSum_one_div_pow_mul_fo…riemannZeta_neg_nat_eq_bernoulli' · cited by 1riemannZeta_neg_nat_eq_be…AddMonoidHom.range_eq_top_of_cancel · cited by 1AddMonoidHom.range_eq_top…AddCircle.coe_eq_zero_iff_of_mem_Ico · cited by 1AddCircle.coe_eq_zero_iff…QuotientAddGroup.nhds_zero_hasBasis · cited by 0QuotientAddGroup.nhds_zer…AddAction.coe_quotient_vadd · cited by 0AddAction.coe_quotient_va…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupHasQuotient.Quotient · cited by 2301HasQuotient.QuotientQuotientAddGroup.mk · cited by 348QuotientAddGroup.mkAddSubgroup.Normal · cited by 183AddSubgroup.NormalQuotientAddGroup.mk_zeroCITED BYCITES

Cites5

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Cited by10

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