Mathlib Map

Theorems · Definition · general topology

OnePoint.rec

{X : Type u_1} → {C : OnePoint X → Sort u_3} → C OnePoint.infty → ((x : X) → C ↑x) → (z : OnePoint X) → C z

Recursor for OnePoint using the preferred forms ∞ and ↑x.

Defined in
Mathlib.Topology.Compactification.OnePoint.Basic
Cited by
6 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.GeneralLinearGroup.IsParabolic.smul_eq_self_iff · cited by 3IsParabolic.smul_eq_self_…OnePoint.exists_mem_SL2 · cited by 2OnePoint.exists_mem_SL2OnePoint.map_smul · cited by 2OnePoint.map_smulOnePoint.ne_infty_iff_exists · cited by 0OnePoint.ne_infty_iff_exi…OnePoint.inseparable_iff · cited by 0OnePoint.inseparable_iffMatrix.GeneralLinearGroup.IsElliptic.smul_ne_self · cited by 0IsElliptic.smul_ne_selfOnePoint · cited by 126OnePointOnePoint.infty · cited by 102OnePoint.inftyOnePoint.some · cited by 76OnePoint.someOnePoint.recCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.