Theorems · Theorem · commutative algebra
wittStructureRat_existsUnique
∀ (p : ℕ) {idx : Type u_2} [hp : Fact (Nat.Prime p)] (Φ : MvPolynomial idx ℚ),
∃! φ,
∀ (n : ℕ),
(MvPolynomial.bind₁ φ) (wittPolynomial p ℚ n) =
(MvPolynomial.bind₁ fun i => (MvPolynomial.rename (Prod.mk i)) (wittPolynomial p ℚ n)) Φ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Finsuppstatement · cited by 5,255
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement · cited by 3,236
- Factstatement and proof · cited by 2,726
- MvPolynomialstatement and proof · cited by 2,140
- Nat.Primestatement and proof · cited by 2,059
- ExistsUniquestatement · cited by 268
- MvPolynomial.renamestatement and proof · cited by 168
- MvPolynomial.bind₁statement and proof · cited by 70
- wittPolynomialstatement and proof · cited by 54
- MvPolynomial.bind₁_X_rightproof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- eq_wittStructureIntproof · cited by 1