Theorems · Definition · group theory
AddMonoidHom.mrangeRestrict
{M : Type u_1} →
[inst : AddZeroClass M] → {N : Type u_5} → [inst_1 : AddZeroClass N] → (f : M →+ N) → M →+ ↥(AddMonoidHom.mrange f)Restriction of an AddMonoidHom to its range interpreted as an AddSubmonoid.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- 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.
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- AddMonoidHom.mrangestatement and proof · cited by 61
- AddMonoidHom.codRestrictproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- AddEquiv.ofLeftInverse'proof · cited by 2
- AddCon.quotientKerEquivRangeproof · cited by 0
- AddMonoidHom.mrangeRestrict_mkerstatement · cited by 0
- AddMonoidHom.mrangeRestrict_surjectivestatement and proof · cited by 0
- AddEquiv.ofLeftInverse'_applystatement · cited by 0
- AddMonoidHom.coe_mrangeRestrictstatement · cited by 0