← Session 29 — ii′-5e-v: circle bound (far-tail + series bounds)
thinking (517 chars)
The sum_fiberwise_of_maps_to gives `∑ y ∈ t, ∑ x ∈ s.filter..., f x = ∑ x ∈ s, f x` — the RHS-first orientation. I need `.symm`. And the f metavariable — pin via ascription or (f := ...). The signature: prod_fiberwise_of_maps_to {g : ι → κ} (h : ∀ i ∈ s, g i ∈ t) (f : ι → M) : ... — f explicit ✓ so pass f explicitly:
`Finset.sum_fiberwise_of_maps_to hmaps (fun ρ => C₁ * (zeroMult (ρ:ℂ):ℝ) / (2:ℝ)^(Nat.log 2 ⌊d ρ⌋₊))` — wait but h2's statement has the equality in the direction ∑_{FS} = ∑_{j∈Ico}: so (....).symm.
Orientation + explicit summand.
tool: Edit
input
{
"replace_all": false,
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiCircleBound.lean",
"old_string": " Finset.sum_fiberwise_of_maps_to hmaps _",
"new_string": " (Finset.sum_fiberwise_of_maps_to hmaps\n (fun \u03c1 => C\u2081 * (zeroMult (\u03c1 : \u2102) : \u211d) / (2 : \u211d) ^ (Nat.log 2 \u230ad \u03c1\u230b\u208a))).symm"
}
raw content_json (database row)
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