Theorems · Theorem · commutative algebra

map_ratCast_smul

∀ {M : Type u_1} {M₂ : Type u_2} [inst : AddCommGroup M] [inst_1 : AddCommGroup M₂] {F : Type u_3}
  [inst_2 : FunLike F M M₂] [AddMonoidHomClass F M M₂] (f : F) (R : Type u_4) (S : Type u_5) [inst_4 : DivisionRing R]
  [inst_5 : DivisionRing S] [inst_6 : Module R M] [inst_7 : Module S M₂] (c : ℚ) (x : M), f (↑c • x) = ↑c • f x

Defined in

Mathlib.Algebra.Module.Rat

Cited by

4 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupAddCommGroupFunLikeAddMonoidHomClassDivisionRingDivisionRingModuleModule