Theorems · Theorem · commutative algebra
DualNumber.inr_eq_smul_eps
∀ {R : Type u_1} [inst : MulZeroOneClass R] (r : R), TrivSqZeroExt.inr r = r • DualNumber.eps- Defined in
- Mathlib.Algebra.DualNumber
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- MulZeroOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroOneClassstatement and proof · cited by 184
- TrivSqZeroExtstatement · cited by 180
- TrivSqZeroExt.inrstatement · cited by 59
- DualNumberstatement · cited by 52
- DualNumber.epsstatement · cited by 30
- TrivSqZeroExt.extproof · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- DualNumber.algHom_ext'proof · cited by 2
- CliffordAlgebraDualNumber.equiv_ιproof · cited by 0
- DualNumber.range_inlAlgHom_sup_adjoin_epsproof · cited by 0