Theorems · Theorem · general algebraic systems
IsDivApply.div_apply
∀ {F : Type u_1} {α : outParam (Type u_2)} {β : outParam (Type u_3)} {inst : FunLike F α β} {inst_1 : Div β}
{inst_2 : Div F} [self : IsDivApply F α β] (f g : F) (x : α), (f / g) x = f x / g x- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- IsDivApply
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- IsDivApplystatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- div_applyproof · cited by 1