Prove2Me

Round-six network data, BitDataSup0_7

Definition
IntMul_Kappa_R6_Data_BitDataSup0_7

by xuanji · Oct 20, 2026 · Mathlib 0df444a (Lean v4.33.1)

complexity-theoryinteger-multiplicationkappa-improvement

Data bundle IntMul_Kappa_R6_Data_BitDataSup0_7 of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6BitDataSup0 (supT0_p111, supT0), stored as Lean terms (large natural-number literals, BT trees and lists of numbers). These values are not proved correct by themselves; they are the certificates and snapshots that the kernel checks (decide +kernel nodes) evaluate. A value larger than one bundle is split into parts (X_p…) that are reassembled by an exact node/++ expression, so the reassembled term is definitionally the original one.

Module context. Round-six bit network, h = 23: node supports, blocks 0..1023 (16 nodes per block, 1792-bit fields). Generated by bit_export.py.

Formalization Note. Part of the Lean formalization of the round-six κ-improvement (integer-multiplication-kappa campaign, target IntMul.Kappa.jain_round6_framework). The statement is copied verbatim from the Lean development; the platform node carries the same declaration name. Definitions it mentions live in the IntMul_Kappa_R6_Defs* bundles (on top of the published κ bundles IntMul_Kappa_K_Defs*).

Definition code
-- Round-six κ development (integer-multiplication-kappa), generated by skeleton subtraction.

import Definitions.Def_IntMul_Kappa_R6_Defs50
import Definitions.Def_IntMul_Kappa_R6_Data_BitDataSup0_0
import Definitions.Def_IntMul_Kappa_R6_Data_BitDataSup0_1
import Definitions.Def_IntMul_Kappa_R6_Data_BitDataSup0_2
import Definitions.Def_IntMul_Kappa_R6_Data_BitDataSup0_3
import Definitions.Def_IntMul_Kappa_R6_Data_BitDataSup0_4
import Definitions.Def_IntMul_Kappa_R6_Data_BitDataSup0_5
import Definitions.Def_IntMul_Kappa_R6_Data_BitDataSup0_6

set_option autoImplicit false
set_option relaxedAutoImplicit false
set_option maxHeartbeats 1000000
set_option maxRecDepth 100000
set_option maxRecDepth 100000

namespace R6Chk.Bit



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/-- support subtree 0 -/
noncomputable def supT0 : BT := (BT.node (BT.node (BT.node supT0_p000 supT0_p001) (BT.node supT0_p010 supT0_p011)) (BT.node (BT.node supT0_p100 supT0_p101) (BT.node supT0_p110 supT0_p111)))

end R6Chk.Bit
Source
S. Jain, round-six networks for the integer-multiplication κ-improvement campaign (https://github.com/Swapnil-jain/integer-mult-kappa, commit 5868dc7) and D. Colkitt, integer-mult-bounds (https://github.com/CrocSwap/integer-mult-bounds); target `IntMul.Kappa.jain_round6_framework`. Lean module Solutions/R6BitDataSup0.lean (generated data).

View graph