Mathlib Map

Theorems · Theorem · group theory

finsum_cond_eq_left

∀ {α : Type u_1} {M : Type u_5} [inst : AddCommMonoid M] {f : α → M} {a : α}, ∑ᶠ (i : α) (_ : i = a), f i = f a
Defined in
Mathlib.Algebra.BigOperators.Finprod
Cited by
2 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.locallyFinsupp.map_id · cited by 1locallyFinsupp.map_idfinsum_cond_eq_right · cited by 0finsum_cond_eq_rightAddCommMonoid · cited by 12281AddCommMonoidfinsum · cited by 286finsumfinsum_mem_singleton · cited by 3finsum_mem_singletonfinsum_cond_eq_leftCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.