Theorems · Theorem · commutative algebra
PolynomialModule.coeff_injective
∀ {R : Type u_2} {M : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M],
Function.Injective PolynomialModule.coeff- Defined in
- Mathlib.Algebra.Polynomial.Module.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Finsuppstatement · cited by 5,255
- Equiv.injectiveproof · cited by 464
- PolynomialModulestatement · cited by 76
- PolynomialModule.coeffstatement · cited by 27
- PolynomialModule.coeffEquivproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- PolynomialModule.coeff_injproof · cited by 2