Theorems · Definition · group theory
AddMonoidHom.eqLocus
{G : Type u_1} → [inst : AddGroup G] → {M : Type u_7} → [inst_1 : AddMonoid M] → (G →+ M) → (G →+ M) → AddSubgroup GThe additive subgroup of elements x : G such that f x = g x
- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidproof · cited by 1,178
- AddMonoidHom.eqLocusMproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- RingHom.eqLocusproof · cited by 12
- NonUnitalRingHom.eqLocusproof · cited by 3
- AddMonoidHom.eqOn_closureproof · cited by 1
- AddMonoidHom.eqLocus_samestatement · cited by 0