Theorems · Theorem · combinatorics
Fintype.sum_bool
∀ {α : Type u_1} [inst : AddCommMonoid α] (f : Bool → α), ∑ b, f b = f true + f false- Defined in
- Mathlib.Data.Fintype.BigOperators
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 58 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.
Cites6
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
- Finset.sumstatement · cited by 5,195
- Finset.univstatement · cited by 3,473
- Finset.sum_singletonproof · cited by 251
- Finset.sum_insertproof · cited by 196
- Finset.mem_singletonproof · cited by 103
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.of_unionproof · cited by 20
- MeasureTheory.measure_union₀_auxproof · cited by 1
- MeasureTheory.Measure.sum_boolproof · cited by 1
- tsum_boolproof · cited by 0
- rel_sup_addproof · cited by 0