Theorems · Definition · linear algebra
FunOnFinite.map
{M : Type u_5} →
[AddCommMonoid M] → {X : Type u_6} → {Y : Type u_7} → [Finite X] → [Finite Y] → (X → Y) → (X → M) → Y → MThe map (X → M) → (Y → M) induced by a map X → Y between finite types.
- Defined in
- Mathlib.LinearAlgebra.Finsupp.Pi
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidFiniteFinite
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.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Equiv.symmproof · cited by 3,681
- Finitestatement and proof · cited by 3,029
- Finsupp.mapDomainproof · cited by 168
- Finsupp.equivFunOnFiniteproof · cited by 50
Cited by6
Results whose statement or proof uses this declaration.
- FunOnFinite.map_apply_applystatement · cited by 2
- FunOnFinite.map_piSinglestatement · cited by 1
- FunOnFinite.continuous_mapstatement · cited by 1
- FunOnFinite.map_compstatement · cited by 0
- FunOnFinite.map_idstatement · cited by 0
- FunOnFinite.map.congr_simpstatement and proof · cited by 0