Theorem: MatrixCookbook.eq_528 (MatrixCookbook/10FunctionsAndOperators.lean)

State before:
ι : Type ?u.91759
R : Type ?u.91762
l : Type ?u.91765
m : Type ?u.91768
n : Type u_1
p : Type ?u.91774
q : Type ?u.91777
r : Type ?u.91780
inst✝¹² : Fintype l
inst✝¹¹ : Fintype m
inst✝¹⁰ : Fintype n
inst✝⁹ : Fintype p
inst✝⁸ : Fintype q
inst✝⁷ : Fintype r
inst✝⁶ : DecidableEq l
inst✝⁵ : DecidableEq m
inst✝⁴ : DecidableEq n
inst✝³ : DecidableEq p
inst✝² : DecidableEq q
inst✝¹ : DecidableEq r
inst✝ : Field R
x : n → ℂ
⊢ ‖(WithLp.equiv ⊤ (n → ℂ)).symm x‖ = ⨆ i, Complex.abs (x i)
Tactic:
simp_rw [PiLp.norm_eq_ciSup, WithLp.equiv_symm_pi_apply, Complex.norm_eq_abs]
State after:
no goals