Theorems · Theorem · field theory
Polynomial.C_injective
∀ {R : Type u} [inst : Semiring R], Function.Injective ⇑Polynomial.C- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 101 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Cstatement · cited by 1,598
- Polynomial.monomial_injectiveproof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- Polynomial.C_eq_zeroproof · cited by 16
- Polynomial.C_injproof · cited by 3
- minpoly.natSepDegree_eq_one_iff_eq_X_sub_C_powproof · cited by 1
- Polynomial.isLeftCancelMulZero_iffproof · cited by 1
- Algebra.isAlgebraic_of_not_injectiveproof · cited by 1
- Polynomial.subsingleton_iff_subsingletonproof · cited by 1
- RatFunc.C_injectiveproof · cited by 0
- Polynomial.noZeroDivisors_iffproof · cited by 0
- WeierstrassCurve.ΨSq_ne_zeroproof · cited by 0