Theorems · Theorem · commutative algebra
Squarefree.pow_dvd_of_pow_dvd
∀ {R : Type u_1} [inst : Monoid R] {x y : R} {n : ℕ}, Squarefree y → x ^ n ∣ y → x ^ n ∣ x- Defined in
- Mathlib.Algebra.Squarefree.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- IsUnitproof · cited by 1,602
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- Squarefreestatement and proof · cited by 112
- IsUnit.powproof · cited by 48
- Squarefree.squarefree_of_dvdproof · cited by 15
- IsUnit.dvdproof · cited by 13
- Squarefree.eq_zero_or_one_of_pow_of_not_isUnitproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsZGroup.of_squarefreeproof · cited by 0