Theorems · Theorem · group theory
Irreducible.of_map
∀ {F : Type u_1} {M : Type u_2} {N : Type u_3} [inst : Monoid M] [inst_1 : Monoid N] {f : F} {x : M}
[inst_2 : FunLike F M N] [MonoidHomClass F M N] [IsLocalHom f], Irreducible (f x) → Irreducible x- Defined in
- Mathlib.Algebra.Group.Irreducible.Lemmas
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- IsUnitproof · cited by 1,602
- map_mulproof · cited by 1,137
- Irreduciblestatement and proof · cited by 496
- MonoidHomClassstatement and proof · cited by 244
- IsUnit.mapproof · cited by 104
- IsLocalHomstatement and proof · cited by 100
- Irreducible.not_isUnitproof · cited by 42
- Irreducible.isUnit_or_isUnitproof · cited by 28
- IsUnit.of_mapproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.separable_orproof · cited by 3
- Polynomial.of_irreducible_expandproof · cited by 2
- MvPolynomial.irreducible_mul_X_addproof · cited by 1
- MvPolynomial.of_irreducible_expandproof · cited by 0