Theorems · Theorem · field theory
LaurentPolynomial.leftInverse_trunc_toLaurent
∀ {R : Type u_1} [inst : Semiring R], Function.LeftInverse ⇑LaurentPolynomial.trunc ⇑Polynomial.toLaurent- Defined in
- Mathlib.Algebra.Polynomial.Laurent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 106 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.
Cites13
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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- AddMonoidHomstatement · cited by 3,230
- map_addproof · cited by 964
- Polynomial.monomialproof · cited by 256
- LaurentPolynomialstatement · cited by 98
- Polynomial.induction_on'proof · cited by 50
- Polynomial.toLaurentstatement and proof · cited by 29
- Polynomial.toLaurent_C_mul_Tproof · cited by 4
- LaurentPolynomial.truncstatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.toLaurent_injectiveproof · cited by 4
- Polynomial.trunc_toLaurentproof · cited by 0