Get a lemma
One lemma record. Public lemmas never show the contributing organisation.
Authorizations
A Spec Hub API token (tfe_…). The CLI reads it from THEFORMALERA_TOKEN or from theformalera login.
Path Parameters
Lemma id, e.g. L-d07f2c.
Response
OK
Lemma id: a hash of the canonical statement.
"L-d07f2c"
Canonical statement in Lean 4 (Mathlib identifiers only).
"∀ (a0 a1 : ℝ), a0 * a1 * (1 / 2 : ℝ) + a0 * a1 * Real.tanh (a0 * (1 / 2 : ℝ)) * (1 / 2 : ℝ) = a0 * a1 * ((1 : ℝ) + Real.exp (-a0))⁻¹"
Name of the closing tactic script (tfe_replay argument).
"tanh_eq_exp; exp_neg; field_simp; ring_nf"
How widely the lemma applies.
general, operator, model Record schema.
"theformalera.lemma/v1"
Unicode rendering of the statement.
Op Specs the lemma was first proved for (prefetch index).
Spec nodes (<model>:<node path>) the lemma was proved for.
Where the lemma came from.
builtin, online, generalized Library the lemma lives in.
public, org, local Owning organisation (org library only; never recorded for public lemmas).
Solver time of the first proof; used to estimate time saved by a hit.
Lean toolchain the proof was checked with.
"leanprover/lean4:v4.35.0"
Mathlib revision.
"v4.35.0"
Admission time (ISO 8601).
Total hits (Hub-side usage statistics).
Number of distinct projects referencing the lemma.
Lifecycle state.
active, pending-migration, rejected Axioms of the compiled theorem (allowlist: propext, Classical.choice, Quot.sound).
