Mathlib Map

Theorems · Theorem · ring theory

RingHom.toSemilinearMap_apply

∀ {R : Type u_1} {S : Type u_5} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+* S) (a : R),
  f.toSemilinearMap a = (↑↑f).toFun a
Defined in
Mathlib.Algebra.Module.LinearMap.Defs
Cited by
2 results in Mathlib
Foundations
Depth 21 from the axioms · uses no axioms
Assumes
SemiringSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HasDerivAt.comp_semilinear · cited by 2HasDerivAt.comp_semilinearAlgebraicGeometry.StructureSheaf.comapₗ_eq_localRingHom · cited by 1StructureSheaf.comapₗ_eq_…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringLinearMap · cited by 10215LinearMapRingHom · cited by 10189RingHomMonoidHom.toOneHom · cited by 132MonoidHom.toOneHomRingHom.toMonoidHom · cited by 132RingHom.toMonoidHomOneHom.toFun · cited by 132OneHom.toFunRingHom.toSemilinearMap · cited by 18RingHom.toSemilinearMapRingHom.toSemilinearMap_applyCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.