one_god_with_creatures_is_monotheistic
plain-language theorem explainer
A 3-substrate theological model with one divine substrate at canonical phase and sigma-charge one, plus two non-divine substrates, satisfies the monotheism predicate. Researchers in formal ontology and Recognition Science would cite this as a concrete verification of the structural monotheism claim. The proof is a direct unfolding of the isMonotheistic and divine definitions followed by a decision procedure on the explicit list.
Claim. Let $T$ be the list $[⟨$GOD$, 0, 1⟩, ⟨$angel$, 1, 0⟩, ⟨$world$, 2, 0⟩]$. Then the number of divine substrates in $T$ is exactly one.
background
Theology is an abbreviation for a list of Substrate records. The divine function filters the list to those substrates that are divine. isMonotheistic asserts that this filtered list has length one. The module sets the local context as a formalization of the claim that sigma-conservation forces a unique divine substrate in any ontology with a global phase function.
proof idea
The tactic proof unfolds the definitions of isMonotheistic and divine, then applies the decide tactic to verify the length equality on the concrete list.
why it matters
This result is assembled into the substrateIndependentMonotheismCert definition, which collects the trichotomy, polytheism violation, and monotheism cases. It supports the paper proposition that monotheism is the sigma-conserving position in the Recognition framework. It leaves open the general question of uniqueness under arbitrary sigma-conserving moves.
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