Theorems · Theorem · commutative algebra
Polynomial.degreeLT.addLinearEquiv_symm_apply
∀ {R : Type u_1} [inst : Semiring R] {m n : ℕ} (PQ : ↥(Polynomial.degreeLT R m) × ↥(Polynomial.degreeLT R n)),
↑((Polynomial.degreeLT.addLinearEquiv R m n).symm PQ) = ↑PQ.1 + ↑PQ.2 * Polynomial.X ^ m- Defined in
- Mathlib.RingTheory.Polynomial.DegreeLT
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Submodulestatement · cited by 7,192
- Polynomialstatement and proof · cited by 5,681
- LinearEquivstatement · cited by 3,317
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Polynomial.Xstatement and proof · cited by 1,639
- LinearEquiv.symmstatement and proof · cited by 1,461
- map_addproof · cited by 964
- LinearMap.inlproof · cited by 72
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.degreeLT.addLinearEquiv_symm_apply'proof · cited by 1