Theorem: MProd.fst.arg_self.fwdDeriv_rule (SciLean/Core/Monads/MProd.lean)

State before:
K : Type u_2
inst✝³ : RCLike K
X : Type u_1
inst✝² : Vec K X
Y : Type u_1
inst✝¹ : Vec K Y
W : Type u_3
inst✝ : Vec K W
f : W → MProd X Y
hf : CDifferentiable K f
⊢ (fwdDeriv K fun w => (f w).fst) = fun w dw =>
    let xydxy := fwdDeriv K f w dw;
    (xydxy.1.fst, xydxy.2.fst)
Tactic:
sorry_proof
State after:
no goals