Round-six network data, CxNetDataM4_15

Definition
IntMul_Kappa_R6_Data_CxNetDataM4_15
by xuanji · Oct 20, 2026 · Mathlib 0df444a (Lean v4.33.1)
complexity-theoryinteger-multiplicationkappa-improvement
Data bundle IntMul_Kappa_R6_Data_CxNetDataM4_15 of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6CxNetDataM4 (SM4_p1111, SM4), 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.
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_Defs24
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_0
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_1
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_10
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_11
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_12
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_13
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_14
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_2
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_3
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_4
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_5
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_6
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_7
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_8
import Definitions.Def_IntMul_Kappa_R6_Data_CxNetDataM4_9

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

namespace IntMul.Kappa.R6.Cx.NetData

open NetBT NetMask

def SM4_p1111 : BT :=
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/-- Mask value snapshot 4. -/
def SM4 : BT := (.node (.node (.node (.node SM4_p0000 SM4_p0001) (.node SM4_p0010 SM4_p0011)) (.node (.node SM4_p0100 SM4_p0101) (.node SM4_p0110 SM4_p0111))) (.node (.node (.node SM4_p1000 SM4_p1001) (.node SM4_p1010 SM4_p1011)) (.node (.node SM4_p1100 SM4_p1101) (.node SM4_p1110 SM4_p1111))))

end IntMul.Kappa.R6.Cx.NetData
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/R6CxNetDataM4.lean (generated data).
View graph