Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved. Exact original first-admission records.
Readable signature
Even(n)Exact expansion
exists h. n = 2 * hThis node is conservative notation, not a theorem, axiom, predicate constant, or kernel rule. Its expansion remains in the unchanged first-order language.
Definition neighborhood
Depends on conservative definitions
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Used by conservative definitions
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All transitive conservative prerequisites
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Used by theorem statements or local proof propositions
FS001P four_square_descent_matching_parity_sum_even FS001Q four_square_descent_matching_parity_absolute_even FS001T four_square_descent_even_multiplier_matching_parity_halving FS003U four_square_parity_even_norm_coordinate_sum FS003V four_square_parity_odd_blocks_crossed_selection FS003W four_square_parity_even_coordinate_pair_selection FS003X four_square_parity_even_norm_pair_selection FS0040 four_square_parity_even_multiplier_halvingGrand-campaign planning vocabulary
Locate Even in the global campaign vocabulary →
Reviewed Even corresponds to blueprint Even with checked argument positions [0].
The global atlas describes planning vocabulary and does not itself certify a definition or theorem. The reviewed expansion and conservative dependency DAG on this page are the actual family-local reading definitions.