Theorems · Theorem · ring theory
LinearMap.toSpanSingleton_one_eq_algebraLinearMap
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A],
LinearMap.toSpanSingleton R A 1 = Algebra.linearMap R A- Defined in
- Mathlib.Algebra.Algebra.Bilinear
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Algebra.algebraMapproof · cited by 4,706
- one_smulproof · cited by 1,374
- map_oneproof · cited by 861
- Algebra.linearMapstatement · cited by 157
- LinearMap.ext_ringproof · cited by 152
- LinearMap.toSpanSingletonstatement · cited by 78
- LinearMap.toSpanSingleton_applyproof · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.one_eq_rangeproof · cited by 11