Theorems · Theorem · commutative algebra
DualNumber.lift_inlAlgHom_eps
∀ {R : Type u_1} {A : Type u_4} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A],
DualNumber.lift ⟨(TrivSqZeroExt.inlAlgHom R A A, DualNumber.eps), ⋯⟩ = AlgHom.id R (DualNumber A)Lifting DualNumber.eps itself gives the identity.
- Defined in
- Mathlib.Algebra.DualNumber
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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Cites16
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
- AlgHomstatement · cited by 3,236
- Commutestatement · cited by 639
- Equiv.apply_symm_applyproof · cited by 346
- AlgHom.idstatement and proof · cited by 196
- TrivSqZeroExtstatement · cited by 180
- DualNumberstatement and proof · cited by 52
- DualNumber.epsstatement · cited by 30
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