`BookProof.KernelBound.kernel_contraction` (Ψ : ιy → ιx → 𝕜) (Φ : ιx → 𝕜) (hΨ : ∑ y, ∑ x, ‖Ψ y x‖ ^ 2 = 1) : ∑ y, ‖kernelOp Ψ Φ y‖ ^ 2 ≤ ∑ x, ‖Φ x‖ ^ 2

Initializing...

`BookProof.KernelBound.kernel_contraction` (Ψ : ιy → ιx → 𝕜) (Φ : ιx → 𝕜) (hΨ : ∑ y, ∑ x, ‖Ψ y x‖ ^ 2 = 1) : ∑ y, ‖kernelOp Ψ Φ y‖ ^ 2 ≤ ∑ x, ‖Φ x‖ ^ 2 · Prove2Me