Theorems · Theorem · commutative algebra
Finsupp.finite_of_nat_weight_le
∀ {σ : Type u_1} [Finite σ] (w : σ → ℕ), (∀ (x : σ), w x ≠ 0) → ∀ (n : ℕ), {d | (Finsupp.weight w) d ≤ n}.Finite- Defined in
- Mathlib.Data.Finsupp.Weight
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Set.ofPredstatement and proof · cited by 6,101
- Finsuppstatement and proof · cited by 5,255
- Equiv.symmproof · cited by 3,681
- AddMonoidHomstatement · cited by 3,230
- Finitestatement and proof · cited by 3,029
- le_reflproof · cited by 2,061
- Set.Finitestatement · cited by 1,814
- Finset.imageproof · cited by 910
- le_imp_le_of_le_of_leproof · cited by 576
Cited by3
Results whose statement or proof uses this declaration.
- Finsupp.finite_of_degree_leproof · cited by 2
- Finsupp.finite_of_nat_weight_eqproof · cited by 1
- Finsupp.finite_of_nat_weight_ltproof · cited by 0