Theorems · Theorem · number theory
ZMod.not_isUnit_of_mem_primeFactors
∀ {n p : ℕ}, p ∈ n.primeFactors → ¬IsUnit ↑p- Defined in
- Mathlib.Data.ZMod.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- IsUnitstatement · cited by 1,602
- ZModstatement · cited by 1,024
- Nat.primeFactorsstatement and proof · cited by 129
- Nat.prime_of_mem_primeFactorsproof · cited by 29
- Nat.dvd_of_mem_primeFactorsproof · cited by 10
- ZMod.isUnit_iff_coprimeproof · cited by 7
- Nat.Prime.dvd_iff_not_coprimeproof · cited by 4
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