Theorems · Definition · group theory
AddMonoidHom.eqLocusM
{M : Type u_1} →
{N : Type u_2} → [inst : AddZeroClass M] → [inst_1 : AddZeroClass N] → (M →+ N) → (M →+ N) → AddSubmonoid MThe additive submonoid of elements x : M such that f x = g x
- Defined in
- Mathlib.Algebra.Group.Submonoid.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- AddZeroClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Set.ofPredproof · cited by 6,101
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
Cited by10
Results whose statement or proof uses this declaration.
- LinearMap.eqLocusproof · cited by 22
- RingHom.eqLocusSproof · cited by 4
- AddMonoidHom.eqLocusproof · cited by 2
- AddMonoidHom.mem_eqLocusMstatement · cited by 2
- AddMonoidHom.eqOn_closureMproof · cited by 2
- NonUnitalRingHom.eqSlocusproof · cited by 1
- AddMonoidHom.eqLocusM_samestatement · cited by 0
- LinearMap.eqLocus_toAddSubmonoidstatement · cited by 0
- AddSubmonoid.fg_eqLocusMstatement · cited by 0
- AddMonoidHom.isAddUnit_eqLocusM_mk_iffstatement and proof · cited by 0