Theorems · Theorem · group theory
addIrreducible_add_addUnits
∀ {M : Type u_2} [inst : AddMonoid M] {y : M} (u : AddUnits M), AddIrreducible (y + ↑u) ↔ AddIrreducible y- Defined in
- Mathlib.Algebra.Group.Irreducible.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- add_assocproof · cited by 746
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement and proof · cited by 248
- IsAddUnitproof · cited by 215
- AddIrreduciblestatement · cited by 24
- AddUnits.add_neg_cancel_rightproof · cited by 8
- addIrreducible_iffproof · cited by 6
- AddUnits.isAddUnit_add_addUnitsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- addIrreducible_add_isAddUnitproof · cited by 1