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Step (v) of the proof of Theorem 1.10 in Mochizuki's Inter-universal Teichmüller theory IV bounds, for each tuple of places, the log-volume of the corresponding component of the holomorphic hull of the union of possible images of a Θ-pilot object defined in Corollary 3.12 of the third paper. This note gives an explicit...
Step (v) of the proof of Theorem 1.10 in Mochizuki's Inter-universal Teichmüller theory IV bounds, for each tuple of places, the log-volume of the corresponding component of the holomorphic hull of the union of possible images of a Θ-pilot object defined in Corollary 3.12 of the third paper. This note gives an explicit...
The Lean 4 developments accompanying the paper Evaluation orders on bracketings in the hyperoperation hierarchy by Toshihisa Urahigashi. Let H_r be the Goodstein hyperoperation hierarchy (H_1 addition, H_2 multiplication, H_3 exponentiation, H_4 tetration). For r ≥ 3 the operation is non-associative, so the value of a...
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