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Composition

Composition describes sequencing among transformation operators.

A composition rule describes whether one operator may meaningfully follow another operator. It does not assert persistence.

Authority

The authoritative Lean definitions are in:

SETheoryTransformation/Relation/Composition.lean
SETheoryTransformation/Reference/Composition.lean

The reference registry mirror is in:

reference/composition-rules.toml

Generated data artifacts are in:

data/transformation/composition-registry.json

Rule

Composition describes sequencing.
Persistence describes survival.

Notes

Composition and orthogonality answer different questions.

Two operators may be composable because they form a meaningful sequence while also being orthogonal because they affect distinct domains.