Theorems · Theorem · linear algebra

LinearMap.eqOn_sup

∀ {R : Type u_1} {R₂ : Type u_2} {M : Type u_3} {M₂ : Type u_4} [inst : Semiring R] [inst_1 : Semiring R₂]
  [inst_2 : AddCommMonoid M] [inst_3 : AddCommMonoid M₂] [inst_4 : Module R M] [inst_5 : Module R₂ M₂] {τ₁₂ : R →+* R₂}
  {F : Type u_5} [inst_6 : FunLike F M M₂] [SemilinearMapClass F τ₁₂ M M₂] {f g : F} {S T : Submodule R M},
  Set.EqOn ⇑f ⇑g ↑S → Set.EqOn ⇑f ⇑g ↑T → Set.EqOn ⇑f ⇑g ↑(S ⊔ T)

Defined in

Mathlib.Algebra.Module.Submodule.EqLocus

Cited by

1 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidModuleModuleFunLikeSemilinearMapClass