Theorems · Theorem · number theory
Nat.factorization_zero_right
∀ (n : ℕ), n.factorization 0 = 0
- Defined in
- Mathlib.Data.Nat.Factorization.Defs
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 90 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.
- DFunLike.coestatement · cited by 62,936
- Finsuppstatement · cited by 5,255
- Nat.factorizationstatement · cited by 215
- Nat.factorization_eq_zero_of_not_primeproof · cited by 22
- Nat.not_prime_zeroproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- Nat.ceilRoot_ne_zeroproof · cited by 2
- Nat.floorRoot_ne_zeroproof · cited by 2
- Real.log_nat_eq_sum_factorizationproof · cited by 1
- Nat.exists_eq_pow_of_exponent_coprime_of_pow_eq_powproof · cited by 1
- Nat.ordProj_dvd_ordProj_iff_dvdproof · cited by 0
- Nat.factorizationLCMLeft_posproof · cited by 0
- Nat.factorizationLCMRight_posproof · cited by 0