pith. sign in
theorem

threehundredsixty_div_eight

proved
show as:
module
IndisputableMonolith.NumberTheory.Primes.RSConstants
domain
NumberTheory
line
174 · github
papers citing
none yet

plain-language theorem explainer

The equality 360 divided by 8 equals 45 is recorded as a stable arithmetic anchor. Researchers maintaining bridge lemmas in the RS constants collection would cite it to avoid repeating basic divisions. The proof is a single native decision tactic that evaluates the integer equality directly.

Claim. $360 / 8 = 45$

background

The module gathers small decidable arithmetic facts about integers such as 8, 45, 360, and 840 that recur across the Recognition Science development. These facts function as stable anchors that keep later bridge lemmas readable without re-proving the same arithmetic repeatedly. The local setting is a collection of prime markers and factorizations chosen for their repeated appearance rather than for any deeper number-theoretic content.

proof idea

The proof is a one-line wrapper that applies the native_decide tactic to confirm the equality by direct integer computation.

why it matters

This declaration supplies a basic arithmetic anchor inside the RSConstants module that supports the surrounding collection of prime facts and factorizations. It aligns with the framework's need for stable constants tied to the eight-tick octave where the factor 8 appears explicitly. No downstream uses are recorded, so the fact remains a leaf-level readability device rather than a step in any forcing chain.

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