Theorems · Theorem · commutative algebra
IsCoprime.pow_left
∀ {R : Type u} [inst : CommSemiring R] {x y : R} {m : ℕ}, IsCoprime x y → IsCoprime (x ^ m) y- Defined in
- Mathlib.RingTheory.Coprime.Lemmas
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finset.rangeproof · cited by 1,341
- IsCoprimestatement and proof · cited by 321
- Finset.prod_constproof · cited by 154
- Finset.card_rangeproof · cited by 108
- IsCoprime.prod_leftproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- IsCoprime.powproof · cited by 7
- IsCoprime.pow_left_iffproof · cited by 4
- Polynomial.Monic.eq_X_pow_char_pow_sub_C_pow_of_natSepDegree_eq_oneproof · cited by 1
- Module.End.exists_isNilpotent_isSemisimple_of_separable_of_dvd_powproof · cited by 1
- Fermat42.not_minimalproof · cited by 1