no goals
𝕜 : Type ?u.17912
E : Type ?u.17915
F : Type ?u.17918
G : Type ?u.17921
H : Type u_1
inst✝¹ : NormedAddCommGroup H
inst✝ : InnerProductSpace ℝ H
s t : Set H
S : Set (Set H)
⊢ innerDualCone (⋃₀ S) = sInf (innerDualCone '' S)
simp_rw [sInf_image, sUnion_eq_biUnion, innerDualCone_iUnion]