Theorems · Theorem · group theory
Finset.prod_range_zero
∀ {M : Type u_3} [inst : CommMonoid M] (f : ℕ → M), ∏ k ∈ Finset.range 0, f k = 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 55 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.rangestatement · cited by 1,341
- Finset.prod_emptyproof · cited by 19
- Finset.range_zeroproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- Finset.prod_range_inductionproof · cited by 4
- iter_deriv_zpow'proof · cited by 2
- Real.Wallis.W_eq_factorial_ratioproof · cited by 1
- EulerSine.sin_pi_mul_eqproof · cited by 1