Mathlib Map

Theorems · Theorem · measure theory

MeasurableSpace.countablyGeneratedAtom.congr_simp

∀ (α : Type u_3) [inst : MeasurableSpace α] [inst_1 : MeasurableSpace.CountablyGenerated α] (a a_1 : ℕ → Prop),
  a = a_1 →
    ∀ (a_2 a_3 : α),
      a_2 = a_3 → MeasurableSpace.countablyGeneratedAtom α a a_2 = MeasurableSpace.countablyGeneratedAtom α a_1 a_3
Defined in
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
Cited by
0 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpace.CountablyGenerated
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasurableSpace · cited by 13106MeasurableSpaceMeasurableSpace.CountablyGenerated · cited by 124MeasurableSpace.Countably…MeasurableSpace.countablyGeneratedAtom · cited by 7MeasurableSpace.countably…countablyGeneratedAtom.congr_…CITED BYCITES

Cites3

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.