Mathlib Map

Theorems · Theorem · general algebraic systems

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

Alias of IsDivApply.div_apply.

Defined in
Mathlib.Data.FunLike.IsApply
Cited by
1 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
IsDivApply
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Around this declaration

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

FunLike.coe_div · cited by 0FunLike.coe_divDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeIsDivApply · cited by 3IsDivApplyIsDivApply.div_apply · cited by 1IsDivApply.div_applydiv_applyCITED BYCITES

Cites4

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.