Theorems · Theorem · sequences and series
tprod_pi_single
∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] [inst_2 : DecidableEq β] (b : β)
(a : α), ∏' (b' : β), Pi.mulSingle b a b' = a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- CommMonoidstatement and proof · cited by 2,264
- SummationFilter.unconditionalstatement · cited by 2,068
- tprodstatement · cited by 230
- Pi.mulSinglestatement · cited by 111
- Pi.mulSingle_eq_sameproof · cited by 18
- Pi.mulSingle_eq_of_neproof · cited by 14
- tprod_eq_mulSingleproof · cited by 5
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