Theorems · Theorem · group theory
finprod_one
∀ {M : Type u_2} {α : Sort u_4} [inst : CommMonoid M], ∏ᶠ (x : α), 1 = 1- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
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.
- SetLike.coeproof · cited by 8,199
- CommMonoidstatement and proof · cited by 2,264
- finprodstatement · cited by 257
- Function.mulSupportproof · cited by 240
- Finset.prod_emptyproof · cited by 19
- Function.mulSupport_fun_oneproof · cited by 6
- finprod_eq_prod_plift_of_mulSupport_subsetproof · cited by 5
Cited by12
Results whose statement or proof uses this declaration.
- tprod_oneproof · cited by 12
- Height.mulHeight_oneproof · cited by 4
- Height.max_mulHeightBound_zero_one_eq_oneproof · cited by 2
- finprod_eq_one_of_forall_eq_oneproof · cited by 2
- Height.mulHeight₁_oneproof · cited by 2
- Height.mulHeight₁_zeroproof · cited by 2
- finprod_of_isEmptyproof · cited by 2
- finprod_mem_emptyproof · cited by 2
- finprod_mem_oneproof · cited by 1
- MeromorphicOn.exists_canonicalDecompproof · cited by 1
- finprod_zero_le_oneproof · cited by 1
- finprod_mem_eq_one_of_forall_eq_oneproof · cited by 0