Theorems · Theorem · number theory
ArithmeticFunction.vonMangoldt.residueClass_apply_zero
∀ {q : ℕ} (a : ZMod q), ArithmeticFunction.vonMangoldt.residueClass a 0 = 0- Defined in
- Mathlib.NumberTheory.LSeries.PrimesInAP
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Nat.cast_zeroproof · cited by 1,870
- ZModstatement and proof · cited by 1,024
- ArithmeticFunction.map_zeroproof · cited by 34
- ArithmeticFunction.vonMangoldt.residueClassstatement · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.vonMangoldt.not_summable_residueClass_prime_divproof · cited by 1
- ArithmeticFunction.vonMangoldt.LSeries_residueClass_lower_boundproof · cited by 1