Theorems · Theorem · group theory
MonoidHom.map_finprod
∀ {α : Type u_1} {M : Type u_5} {N : Type u_6} [inst : CommMonoid M] [inst_1 : CommMonoid N] {f : α → M} (g : M →* N),
Function.HasFiniteMulSupport f → g (∏ᶠ (i : α), f i) = ∏ᶠ (i : α), g (f i)- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement and proof · cited by 3,629
- CommMonoidstatement and proof · cited by 2,264
- Equiv.injectiveproof · cited by 464
- Function.Injective.injOnproof · cited by 280
- finprodstatement · cited by 257
- Function.HasFiniteMulSupportstatement and proof · cited by 99
- Equiv.pliftproof · cited by 23
- Set.Finite.preimageproof · cited by 16
- MonoidHom.map_finprod_pliftproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- finprod_powproof · cited by 2
- map_finprodproof · cited by 1
- MonoidHom.map_finprod_mem'proof · cited by 1
- Nat.cast_finprodproof · cited by 0