Theorems · Theorem · commutative algebra
Polynomial.degreeLT.addLinearEquiv_symm_apply_inl
∀ {R : Type u_1} [inst : Semiring R] {m n : ℕ} (P : ↥(Polynomial.degreeLT R m)),
↑((Polynomial.degreeLT.addLinearEquiv R m n).symm
((LinearMap.inl R ↥(Polynomial.degreeLT R m) ↥(Polynomial.degreeLT R n)) P)) =
↑P- Defined in
- Mathlib.RingTheory.Polynomial.DegreeLT
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 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.
Cites23
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
- LinearMapstatement · cited by 10,215
- Submodulestatement · cited by 7,192
- Polynomialstatement and proof · cited by 5,681
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- LinearEquivstatement · cited by 3,317
- Finset.sum_congrproof · cited by 2,323
- Polynomial.Xproof · cited by 1,639
- LinearEquiv.symmstatement and proof · cited by 1,461
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.degreeLT.addLinearEquiv_symm_applyproof · cited by 1