Theorems · Theorem · number theory
Nat.setGcd_mono
∀ {s t : Set ℕ}, s ⊆ t → Nat.setGcd t ∣ Nat.setGcd s- Defined in
- Mathlib.NumberTheory.FrobeniusNumber
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Nat.setGcdstatement · cited by 15
- Nat.setGcd_dvd_of_memproof · cited by 5
- Nat.dvd_setGcd_iffproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Nat.setGcd_insert_of_dvdproof · cited by 0
- Nat.dvdNotUnit_setGcd_insertproof · cited by 0