Theorems · Theorem · number theory
Nat.dvdNotUnit_setGcd_insert
∀ {s : Set ℕ} {n : ℕ}, ¬Nat.setGcd s ∣ n → DvdNotUnit (Nat.setGcd (insert n s)) (Nat.setGcd s)- Defined in
- Mathlib.NumberTheory.FrobeniusNumber
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.mem_insertproof · cited by 109
- Set.subset_insertproof · cited by 96
- DvdNotUnitstatement · cited by 33
- Nat.setGcdstatement and proof · cited by 15
- dvdNotUnit_of_dvd_of_not_dvdproof · cited by 4
- Nat.dvd_setGcd_iffproof · cited by 3
- Nat.setGcd_monoproof · cited by 2
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