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Theorems · Theorem · commutative algebra

Squarefree.dvd_of_squarefree_of_mul_dvd_mul_left

∀ {R : Type u_1} [inst : CommMonoidWithZero R] [IsCancelMulZero R] {x y d : R} [DecompositionMonoid R],
  Squarefree y → d * d ∣ x * y → d ∣ x
Defined in
Mathlib.Algebra.Squarefree.Basic
Cited by
1 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidWithZeroIsCancelMulZeroDecompositionMonoid
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Around this declaration

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squarefree_mul_iff · cited by 4squarefree_mul_iffmul_comm · cited by 2262mul_commCommMonoidWithZero · cited by 913CommMonoidWithZeroIsCancelMulZero · cited by 177IsCancelMulZeroSquarefree · cited by 112SquarefreeDecompositionMonoid · cited by 39DecompositionMonoidSquarefree.dvd_of_squarefree_of_mul_dvd_mul_right · cited by 2Squarefree.dvd_of_squaref…Squarefree.dvd_of_squarefree_…CITED BYCITES

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Cited by1

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