Theorems · Theorem · number theory
Nat.factorization_zero
Nat.factorization 0 = 0
- Defined in
- Mathlib.Data.Nat.Factorization.Defs
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement · cited by 5,255
- Nat.Primeproof · cited by 2,059
- Finsupp.extproof · cited by 399
- Nat.factorizationstatement · cited by 215
- Nat.primeFactorsproof · cited by 129
- padicValNatproof · cited by 106
- padicValNat_zero_rightproof · cited by 12
- Nat.primeFactors_zeroproof · cited by 11
- Finsupp.mk.congr_simpproof · cited by 9
Cited by32
Results whose statement or proof uses this declaration.
- Nat.factorization_powproof · cited by 17
- Nat.factorization_divproof · cited by 7
- Nat.factorization_choose_le_logproof · cited by 3
- Nat.factorization_ordComplproof · cited by 3
- Nat.multiplicative_factorizationproof · cited by 3
- Squarefree.natFactorization_le_oneproof · cited by 3
- Nat.factorization_choose_eq_zero_of_ltproof · cited by 2
- Nat.ordCompl_eq_self_iff_zero_or_not_dvdproof · cited by 2
- Real.log_nat_eq_sum_factorizationproof · cited by 1
- Nat.factorizationLCMLeft_dvd_leftproof · cited by 1
- Nat.factorizationLCMRight_dvd_rightproof · cited by 1
- Nat.factorization_ceilRootproof · cited by 1