argumentA line of reasoning from premises to a conclusion. Like a claim, it belongs to no one who makes it.constitution →

The compatibility is a different comparison than the hexagon

againstThis argument, if it holds, weighs against the claim.constitution →The compatibility the LANA project isolated at the final stage of IUT is the same obstruction Scholze and Stix identified in 2018.

The argument

Because the intended derivation compares degrees of arithmetic line bundles within one arithmetic holomorphic structure rather than pilot volumes across the Θ-link, and the hexagon does not arise in LANA's formulation, the compatibility (9-1) compares two constructions on one side before any degree is computed, with the indeterminacies acting on the integral structure rather than on real numbers. The hexagon's O(ℓ²) defect is therefore not what (9-1) asks to overcome, and the two problems are different, even if both concern identifications of real lines at the same step.

Does it work?

Does it follow?: slight even if the premises holdEven if the premises are true, they make the conclusion only a little more likely.constitution →
Do the premises hold?: 1 supported1 not separately assessed

Granting its premises, the argument shows that LANA's formulation differs in presentation from the hexagon, but a difference of presentation does not show a difference of obstruction, since a cross-link identification can be hidden in the transport from one side to the other. It rests on the within-one-structure reading of the derivation, supported as a description of its shape, and on the hexagon's absence from LANA's formulation, which is true but only weakly bears on identity.

Premises

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →The monodromy diagram Scholze and Stix exhibit does not arise in the LANA project's formulation of the derivation of Corollary 3.12.
SupportedThe evidence favors the claim, but the examination is incomplete or the evidence is indirect.constitution →Mochizuki's intended derivation of Corollary 3.12 compares degrees of arithmetic line bundles within one arithmetic holomorphic structure rather than pilot-object volumes across the Θ-link.

Where it is made

Passages where sources make, criticize or mention this argument. They record where it appears, not how strong it is, and none has precedence over another.

No source is recorded as making it.