Theorems · Theorem · commutative algebra
IsRelPrime.of_map
∀ {M : Type u_3} {N : Type u_4} {F : Type u_5} [inst : Monoid M] [inst_1 : Monoid N] [inst_2 : FunLike F M N]
[MulHomClass F M N] (f : F) [IsLocalHom f] {a b : M}, IsRelPrime (f a) (f b) → IsRelPrime a b- Defined in
- Mathlib.Algebra.Prime.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- FunLikestatement and proof · cited by 2,560
- IsRelPrimestatement and proof · cited by 136
- IsLocalHomstatement and proof · cited by 100
- MulHomClassstatement and proof · cited by 73
- map_dvdproof · cited by 44
- IsUnit.of_mapproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.irreducible_mul_X_addproof · cited by 1