Artifact · open
Mathlib v4.30 source proposition Nat.exists_not_and_succ_of_not_zero_of_exists
This page records one proposition and the evidence attached to it. Text from the source ledger is shown as record data.
- Identifier
- F:ml430-nat-exists-not-and-succ-of-not-zero-of-exists-07952ae8
- Proof route
- Not assigned
- External status
- proved
- Axiom footprint
- Empty
Recorded description
The proposition declared as `Nat.exists_not_and_succ_of_not_zero_of_exists` in the pinned Mathlib v4.30 source.
∀ {p : ℕ → Prop}, ¬p 0 → (∃ n, p n) → ∃ n, ¬p n ∧ p (n + 1)Dependencies
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0 direct dependencies 0 direct dependents
Evidence
Provenance
{
"date": "2026-08-29",
"established_by": "not established in this ledger",
"source": "statement-only extraction of `Nat.exists_not_and_succ_of_not_zero_of_exists` from Mathlib v4.30.0; no proof value was exposed",
"prior_art": [
{
"who": "the Mathlib contributors",
"what": "the theorem declaration `Nat.exists_not_and_succ_of_not_zero_of_exists`",
"where": "mathlib4 commit c5ea00351c28e24afc9f0f84379aa41082b1188f (v4.30.0)",
"year": 2026,
"attribution": "the proposition was read from the pinned statement-only inventory; the proof term and tactic trace were not consulted"
}
]
}