Skip to content

[Merged by Bors] - feat(MeasureTheory): add MeasurableEmbedding.natCast #34521

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Closed
huaizhangchu wants to merge 5 commits into from
+9 −0
Closed

[Merged by Bors] - feat(MeasureTheory): add MeasurableEmbedding.natCast #34521

Changes from 2 commits
Commits
Show all changes
5 commits
Select commit Hold shift + click to select a range
435873c
feat(MeasureTheory): add measurableEmbedding_natCast
vianna04 Jan 28, 2026
e46b272
Merge branch 'master' into measurableEmbedding-natCast
huaizhangchu Jan 28, 2026
26f7455
Merge branch 'master' into measurableEmbedding-natCast
huaizhangchu Mar 3, 2026
a7fc251
generalize measurableEmbedding_natCast beyond Real
vianna04 Mar 3, 2026
5740487
move measurableEmbedding_natCast to Embedding.lean
vianna04 Mar 4, 2026
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
3 changes: 3 additions & 0 deletions Mathlib/MeasureTheory/Constructions/BorelSpace/Real.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -153,6 +153,9 @@ theorem AEMeasurable.real_toNNReal {f : α → ℝ} {μ : Measure α} (hf : AEMe
AEMeasurable (fun x => Real.toNNReal (f x)) μ :=
measurable_real_toNNReal.comp_aemeasurable hf

lemma measurableEmbedding_natCast : MeasurableEmbedding (Nat.cast : ℕ → ℝ) :=
Nat.isClosedEmbedding_coe_real.measurableEmbedding

theorem measurable_coe_nnreal_real : Measurable ((↑) : ℝ≥0 → ℝ) :=
NNReal.continuous_coe.measurable

Expand Down