Theorems · Theorem · field theory
Polynomial.monomial_injective
∀ {R : Type u} [inst : Semiring R] (n : ℕ), Function.Injective ⇑(Polynomial.monomial n)- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- RingEquiv.symmproof · cited by 567
- Polynomial.monomialstatement · cited by 256
- RingEquiv.injectiveproof · cited by 39
- Polynomial.toFinsuppIsoproof · cited by 11
- AddMonoidAlgebra.single_right_injectiveproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.C_injectiveproof · cited by 10
- Polynomial.monomial_eq_zero_iffproof · cited by 2