Theorems · Theorem · field theory
Polynomial.ofFinsupp.injEq
∀ {R : Type u_1} [inst : Semiring R] (toFinsupp toFinsupp_1 : AddMonoidAlgebra R ℕ),
({ toFinsupp := toFinsupp } = { toFinsupp := toFinsupp_1 }) = (toFinsupp = toFinsupp_1)- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement · cited by 5,681
- AddMonoidAlgebrastatement and proof · cited by 649
- Polynomial.ofFinsupp.injproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.X_mulproof · cited by 12
- Polynomial.ext_iffproof · cited by 9
- Polynomial.ofFinsupp_injproof · cited by 2
- Polynomial.coeff_injectiveproof · cited by 1
- Polynomial.monomial_one_eq_iffproof · cited by 0