Theorems · Theorem · commutative algebra
DualNumber.range_inlAlgHom_sup_adjoin_eps
∀ {R : Type u_1} {A : Type u_4} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A],
(TrivSqZeroExt.inlAlgHom R A A).range ⊔ R[DualNumber.eps] = ⊤- Defined in
- Mathlib.Algebra.DualNumber
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Top.topstatement and proof · cited by 9,680
- Subalgebrastatement · cited by 1,353
- Algebra.adjoinstatement and proof · cited by 535
- Set.mem_range_selfproof · cited by 328
- le_sup_leftproof · cited by 265
- le_sup_rightproof · cited by 242
- AddMemClass.add_memproof · cited by 229
- Set.mem_singletonproof · cited by 183
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