Theorems · Theorem · combinatorics
Fin.prod_const
∀ {M : Type u_2} [inst : CommMonoid M] (n : ℕ) (x : M), ∏ _i, x = x ^ n- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 57 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.
Cites5
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
- Fintype.card_finproof · cited by 270
- Finset.prod_constproof · cited by 154
Cited by6
Results whose statement or proof uses this declaration.
- cauchyPowerSeries_applyproof · cited by 2
- FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_leproof · cited by 1
- FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsumproof · cited by 1
- norm_torusIntegral_le_of_norm_le_constproof · cited by 0
- torusIntegral_radius_zeroproof · cited by 0
- DividedPowerAlgebra.pow_dpproof · cited by 0