Theorem: SciLean.IsSmoothLinearMap.id_rule (SciLean/Core/FunctionPropositions/IsSmoothLinearMap.lean)

State before:
K : Type u_1
inst✝⁷ : RCLike K
X : Type u_2
inst✝⁶ : Vec K X
Y : Type ?u.3337
inst✝⁵ : Vec K Y
Z : Type ?u.3348
inst✝⁴ : Vec K Z
ι : Type ?u.3359
inst✝³ : IndexType ι
inst✝² : LawfulIndexType ι
inst✝¹ : DecidableEq ι
E : ι → Type ?u.3386
inst✝ : (i : ι) → Vec K (E i)
⊢ IsSmoothLinearMap K fun x => x
Tactic:
constructor <;> fun_prop
State after:
no goals