Theorems · Theorem · commutative algebra
DualNumber.coe_lift_symm_apply
∀ {R : Type u_1} {B : Type u_3} {A : Type u_4} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] (F : DualNumber A →ₐ[R] B),
↑(DualNumber.lift.symm F) = (F.comp (TrivSqZeroExt.inlAlgHom R A A), F DualNumber.eps)- Defined in
- Mathlib.Algebra.DualNumber
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
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Cites13
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- AlgHomstatement and proof · cited by 3,236
- Commutestatement · cited by 639
- AlgHom.compstatement · cited by 501
- DualNumberstatement and proof · cited by 52
- DualNumber.epsstatement · cited by 30
- TrivSqZeroExt.inlAlgHomstatement · cited by 17
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