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Combinatorics / CONCEPT

The Erdos-Graham Order Gadget Is Impossible at Every Scale

Every order gadget on the integers from M plus one through twice M fails once M is at least sixteen: arithmetic-progression constraints propagate two neighbouring centres around ladders whose guard endpoints force both possible rank orders.

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The order gadget is impossible

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The Erdos-Graham Order Gadget Is Impossible at Every ScaleThe Erdos-Graham Order GadgetIs Impossible at Every ScaleThe Kasel Displacement Lower BoundThe Kasel Displacement LowerBound
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/ErdosGrahamOrderGadget
Repository path
D5/S3/Combinatorics/ErdosGrahamOrderGadget.lean
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sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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