Theorems · Theorem · commutative algebra
DualNumber.algHom_ext_iff
∀ {R : Type u_1} {A : Type u_4} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
{f g : DualNumber R →ₐ[R] A}, f = g ↔ f DualNumber.eps = g DualNumber.eps- Defined in
- Mathlib.Algebra.DualNumber
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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Cites8
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement and proof · cited by 3,236
- DualNumberstatement and proof · cited by 52
- DualNumber.epsstatement and proof · cited by 30
- DualNumber.algHom_extproof · cited by 2
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