trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Full-Type Geometric Saturation

Schroeder's geometric saturation bound for injectively indexed nonzero cofactor types.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH12
DOCUMENT LINKS1
THEOREM

Each nonzero type has total geometric weight at most one

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Direct recorded relationships
Arith: Capped Gain GeometricArith: Capped Gain GeometricFull-Type Geometric SaturationFull-Type Geometric Saturation
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Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

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None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
12
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Congruence/ConditionalComparison/CappedGainTypes
Repository path
D5/S3/Arith/Congruence/ConditionalComparison/CappedGainTypes.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.