pith. sign in
theorem

twoCube_times_gap

proved
show as:
module
IndisputableMonolith.CrossDomain.CrossPatternMatrix
domain
CrossDomain
line
44 · github
papers citing
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plain-language theorem explainer

The arithmetic identity eight times forty-five equals three hundred sixty is recorded here. Workers on the cross-pattern matrix cite it to populate the entry linking the eight-tick octave to the gap of forty-five. The proof applies a decision tactic that confirms the numerical equality without further lemmas.

Claim. $2^{3} 45 = 360$

background

The module assembles a matrix of cross-products among five RS patterns: D=5, 2³=8, J=0, φ-ladder, gap-45. The entry at 2³ and gap45 is 360, described as full turn = tick × gap. This identity supplies one cell in that matrix. No upstream results are required.

proof idea

The proof consists of a single decide tactic that evaluates the arithmetic expression directly.

why it matters

This supplies the value for the full_turn theorem, which states that 2³ × 45 = 360 degrees. It completes one non-trivial entry in the cross-pattern matrix of the C26 meta-theorem, corresponding to the eight-tick octave multiplied by the gap. The matrix as a whole demonstrates that the five patterns produce distinct integers.

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