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Theorems · Theorem · number theory

ArithmeticFunction.ext

∀ {R : Type u_1} [inst : Zero R] ⦃f g : ArithmeticFunction R⦄, (∀ (x : ℕ), f x = g x) → f = g
Defined in
Mathlib.NumberTheory.ArithmeticFunction.Defs
Cited by
29 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
Zero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ArithmeticFunction.moebius_mul_coe_zeta · cited by 4ArithmeticFunction.moebiu…ArithmeticFunction.natCoe_nat · cited by 4ArithmeticFunction.natCoe…ArithmeticFunction.vonMangoldt_mul_zeta · cited by 3ArithmeticFunction.vonMan…ArithmeticFunction.intCoe_mul · cited by 2ArithmeticFunction.intCoe…ArithmeticFunction.intCoe_one · cited by 2ArithmeticFunction.intCoe…ArithmeticFunction.coe_coe · cited by 2ArithmeticFunction.coe_coeArithmeticFunction.zeta_mul_pow_eq_sigma · cited by 2ArithmeticFunction.zeta_m…ArithmeticFunction.self_mul_dirichletInverse · cited by 2ArithmeticFunction.self_m…ArithmeticFunction.coe_zeta_mul_comm · cited by 2ArithmeticFunction.coe_ze…ArithmeticFunction.toArithmeticFunction_eq_self · cited by 1ArithmeticFunction.toArit…toArithmeticFunction_congr · cited by 1toArithmeticFunction_congrArithmeticFunction.pmul_zeta · cited by 1ArithmeticFunction.pmul_z…ArithmeticFunction.pow_zero_eq_zeta · cited by 1ArithmeticFunction.pow_ze…ArithmeticFunction.ppow_succ' · cited by 1ArithmeticFunction.ppow_s…ArithmeticFunction.zeta_pmul · cited by 1ArithmeticFunction.zeta_p…DFunLike.coe · cited by 62936DFunLike.coeArithmeticFunction · cited by 290ArithmeticFunctionZeroHom.ext · cited by 11ZeroHom.extArithmeticFunction.extCITED BYCITES

Cites3

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Cited by29

Results whose statement or proof uses this declaration.