Theorems · Theorem · general algebraic systems
Finsupp.mapDomain_surjective
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} [inst : AddCommMonoid M] {f : α → β},
Function.Surjective f → Function.Surjective (Finsupp.mapDomain f)- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- Finsupp.mapDomainstatement and proof · cited by 168
- Function.surjInvproof · cited by 63
- Finsupp.mapDomain_compproof · cited by 13
- Finsupp.mapDomain_idproof · cited by 13
- Function.rightInverse_surjInvproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- groupHomology.chainsMap_f_map_epiproof · cited by 0