Theorems · Theorem · group theory
finprod_zero_le_one
∀ {M : Type u_7} {α : Type u_8} [inst : CommMonoidWithZero M] [inst_1 : PartialOrder M] [ZeroLEOneClass M]
[PosMulMono M], ∏ᶠ (x : α), 0 ≤ 1- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- le_rflproof · cited by 1,558
- CommMonoidWithZerostatement and proof · cited by 913
- Eq.leproof · cited by 605
- zero_le_oneproof · cited by 316
- ZeroLEOneClassstatement and proof · cited by 304
- finprodstatement and proof · cited by 257
- PosMulMonostatement and proof · cited by 165
- Function.HasFiniteMulSupportproof · cited by 99
- finprod_oneproof · cited by 12
- finprod_le_finprodproof · cited by 5
- finprod_of_not_hasFiniteMulSupportproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Height.max_mulHeightBound_zero_one_eq_oneproof · cited by 2