`unliftProd`🔗

Definition

Unlifts a product of kernels by unlifting the inner kernels.

def

unliftProd (e : Lean.Expr) (eLvl : Lean.Level)
  (proofs : List Lean.Expr) : Lean.MetaM (Lean.Expr × List Lean.Expr)
unliftProd (e : Lean.Expr)
  (eLvl : Lean.Level)
  (proofs : List Lean.Expr) :
  Lean.MetaM (Lean.Expr × List Lean.Expr)

Code

def unliftProd (e : Expr) (eLvl : Level) (proofs : List Expr) :
    MetaM (Expr × List Expr) := do
  unless e.isAppOf ``Kernel.prod do
    throwError "Expected a product of kernels, but got {e}."
  let args := e.getAppArgs
  let κ' := args[args.size - 2]!
  let η' := args[args.size - 1]!
  let (κ, proofs_κ) ← unliftExpr κ' eLvl proofs
  let (η, proofs_η) ← unliftExpr η' eLvl proofs_κ
  let (X, Y, xLvl, yLvl) ← getTypesFromKernel κ
  let (_, Z, _, zLvl) ← getTypesFromKernel η
  let ex ← constructMeasurableEquiv X xLvl eLvl
  let ey ← constructMeasurableEquiv Y yLvl eLvl
  let ez ← constructMeasurableEquiv Z zLvl eLvl
  let prod_unlift_proof ← mkAppM ``prod_lift #[ex, ey, ez, κ, η]
  return (← mkAppM ``Kernel.prod #[κ, η], prod_unlift_proof :: proofs_η)

Actions: Source · Open Issue

Meaning last changed in v4.34.0-rc2-1-g439785b (2026-08-23).

Self-contained, with its dependencies inlined and proofs replaced by sorry: download the raw file · open it in the Lean web editor.

Dependency graph

Audit surface: 5 project declarations, 127 external constants

✓ Proved: no sorry anywhere in its closure

This is the tool's own reading of one build's recorded axioms, and it is not robust against an author who wants it to pass. Checking meant to be relied on should go through Comparator, which replays the proof through the kernel from an export against an explicit list of permitted axioms.

unliftProd🔗

`unliftProd`🔗