Theorem: SciLean.Diffeomorphism.comp_rule (SciLean/Core/FunctionPropositions/Diffeomorphism.lean)

State before:
K : Type u_1
inst✝⁸ : RCLike K
X : Type u_4
inst✝⁷ : Vec K X
Y : Type u_2
inst✝⁶ : Vec K Y
Z : Type u_3
inst✝⁵ : Vec K Z
W : Type ?u.1352
inst✝⁴ : Vec K W
ι : Type ?u.1363
inst✝³ : IndexType ι
inst✝² : LawfulIndexType ι
inst✝¹ : DecidableEq ι
E : ι → Type ?u.1390
inst✝ : (i : ι) → Vec K (E i)
f : Y → Z
g : X → Y
hf : Diffeomorphism K f
hg : Diffeomorphism K g
⊢ Diffeomorphism K fun x => f (g x)
Tactic:
sorry_proof
State after:
no goals