Theorems · Theorem · group theory
AddMonoidHom.map_finsum_Prop
∀ {M : Type u_2} {N : Type u_3} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N] {p : Prop} (f : M →+ N) (g : p → M),
f (∑ᶠ (x : p), g x) = ∑ᶠ (x : p), f (g x)- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
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.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- Function.supportproof · cited by 610
- finsumstatement · cited by 286
- Set.toFiniteproof · cited by 174
- AddMonoidHom.map_finsum_pliftproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.map_finsum_mem'proof · cited by 1