Theorems · Theorem · commutative algebra
EuclideanDomain.div_pow
∀ {R : Type u_1} [inst : EuclideanDomain R] {a b : R} {n : ℕ}, b ∣ a → (a / b) ^ n = a ^ n / b ^ n- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EuclideanDomain
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- pow_zeroproof · cited by 1,094
- zero_powproof · cited by 361
- mul_powproof · cited by 220
- EuclideanDomainstatement and proof · cited by 124
- mul_div_cancel_left₀proof · cited by 111
- EuclideanDomain.div_zeroproof · cited by 17
- EuclideanDomain.div_selfproof · cited by 10
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