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Theorems · Theorem · number theory

ArithmeticFunction.one_apply_ne

∀ {R : Type u_1} [inst : Zero R] [inst_1 : One R] {x : ℕ}, x ≠ 1 → 1 x = 0
Defined in
Mathlib.NumberTheory.ArithmeticFunction.Defs
Cited by
6 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext
Assumes
ZeroOne
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Around this declaration

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

ArithmeticFunction.moebius_mul_coe_zeta · cited by 4ArithmeticFunction.moebiu…ArithmeticFunction.self_mul_dirichletInverse · cited by 2ArithmeticFunction.self_m…ArithmeticFunction.isMultiplicative_one · cited by 2ArithmeticFunction.isMult…ArithmeticFunction.one_smul' · cited by 0ArithmeticFunction.one_sm…ArithmeticFunction.sum_moebius_mul_log_eq · cited by 0ArithmeticFunction.sum_mo…ArithmeticFunction.tendsTo_eulerProduct_ofPowerSeries · cited by 0ArithmeticFunction.tendsT…DFunLike.coe · cited by 62936DFunLike.coeArithmeticFunction · cited by 290ArithmeticFunctionArithmeticFunction.one_apply_…CITED BYCITES

Cites2

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Cited by6

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