Mathlib Map

Theorems · Definition · order theory

EReal.rec

{motive : EReal → Sort u_1} → motive ⊥ → ((a : ℝ) → motive ↑a) → motive ⊤ → (a : EReal) → motive a

A recursor for EReal in terms of the coercion. When working in term mode, note that pattern matching can be used directly, although this is prone to leaking the implementation details in terms of Option.

Defined in
Mathlib.Data.EReal.Basic
Cited by
57 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms

Around this declaration

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

Cites5

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

  • Realstatement and proof · cited by 25,697
  • Top.topstatement and proof · cited by 9,680
  • Bot.botstatement and proof · cited by 4,720
  • ERealstatement and proof · cited by 793
  • Real.toERealstatement and proof · cited by 303

Cited by58

Results whose statement or proof uses this declaration.