Mathlib Map

Theorems · Theorem · general algebraic systems

IsVAddApply.vadd_apply

∀ {M : Type u_1} {F : Type u_2} {α : outParam (Type u_3)} {β : outParam (Type u_4)} {inst : FunLike F α β}
  {inst_1 : VAdd M β} {inst_2 : VAdd M F} [self : IsVAddApply M F α β] (f : F) (n : M) (x : α), (n +ᵥ f) x = n +ᵥ f x
Defined in
Mathlib.Data.FunLike.IsApply
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
IsVAddApply
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Around this declaration

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

vadd_apply · cited by 1vadd_applyDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeHVAdd.hVAdd · cited by 1820HVAdd.hVAddVAdd · cited by 616VAddIsVAddApply · cited by 3IsVAddApplyIsVAddApply.vadd_applyCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.