Theorems · Theorem · number theory
Nat.primeFactorsList_one
Nat.primeFactorsList 1 = []
- Defined in
- Mathlib.Data.Nat.Factors
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.primeFactorsListstatement · cited by 105
Cited by11
Results whose statement or proof uses this declaration.
- Nat.prime_of_mem_primeFactorsListproof · cited by 30
- Nat.prod_primeFactorsListproof · cited by 15
- ArithmeticFunction.cardFactors_oneproof · cited by 6
- Nat.primeFactorsList_eq_nilproof · cited by 2
- Nat.perm_primeFactorsList_mul_of_coprimeproof · cited by 2
- jacobiSym.one_rightproof · cited by 2
- Nat.primeFactorsList_twoproof · cited by 1
- Nat.isChain_cons_primeFactorsListproof · cited by 1
- ArithmeticFunction.cardDistinctFactors_oneproof · cited by 1
- Nat.mem_primeFactorsList_mul_of_coprimeproof · cited by 1
- PNat.factorMultiset_oneproof · cited by 0