Theorems · Theorem · combinatorics
Fin.prod_univ_two
∀ {M : Type u_2} [inst : CommMonoid M] (f : Fin 2 → M), ∏ i, f i = f 0 * f 1- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 80 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.
- Finset.univstatement · cited by 3,473
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.prod_congrproof · cited by 646
- Finset.univ_uniqueproof · cited by 94
- Finset.prod_singletonproof · cited by 78
- Fin.prod_univ_succproof · cited by 17
Cited by16
Results whose statement or proof uses this declaration.
- Fin.prod_univ_threeproof · cited by 4
- Height.mulHeight₁_add_leproof · cited by 2
- MeasureTheory.measurePreserving_piFinTwoproof · cited by 2
- iteratedDerivWithin_scomp_threeproof · cited by 2
- Polynomial.homogenize_eq_of_isHomogeneousproof · cited by 1
- FormalGroup.coeff_one_Xzeroproof · cited by 1
- FormalGroup.coeff_one_zeroXproof · cited by 1
- Real.geom_mean_eq_arith_mean2_weighted_iff_of_nonnegproof · cited by 1
- Nat.image_piFinTwoEquiv_finMulAntidiagproof · cited by 0
- Real.geom_mean_eq_arith_mean2_weighted_iff_of_posproof · cited by 0
- Nat.multinomial_univ_twoproof · cited by 0
- Fin.prod_univ_two'proof · cited by 0