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Discrete and continuous abel transforms#1934

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Tragicus wants to merge 1 commit intomath-comp:masterfrom
Tragicus:abel
Open

Discrete and continuous abel transforms#1934
Tragicus wants to merge 1 commit intomath-comp:masterfrom
Tragicus:abel

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@Tragicus
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@Tragicus Tragicus commented Apr 12, 2026

Motivation for this change

Abel transforms and a few helper lemmas, as part of #1720.

Checklist
  • added corresponding entries in CHANGELOG_UNRELEASED.md
  • [ ] added corresponding documentation in the headers

Reference: How to document

Merge policy

As a rule of thumb:

  • PRs with several commits that make sense individually and that
    all compile are preferentially merged into master.
  • PRs with disorganized commits are very likely to be squash-rebased.
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@Tragicus
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I forgot to credit the main author, which is very silly, I will do it with the first round of reviews.

Comment thread classical/unstable.v
Comment on lines +596 to +601
Lemma floor_nat (R : archiNumDomainType) n : absz (floor (n%:R : R)) = n.
Proof.
apply: (can_inj absz_nat).
rewrite gez0_abs; first by rewrite real_floor_ge0.
by apply /(@intr_inj R) /eqP; rewrite -[_ == _]intrEfloor.
Qed.
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Suggested change
Lemma floor_nat (R : archiNumDomainType) n : absz (floor (n%:R : R)) = n.
Proof.
apply: (can_inj absz_nat).
rewrite gez0_abs; first by rewrite real_floor_ge0.
by apply /(@intr_inj R) /eqP; rewrite -[_ == _]intrEfloor.
Qed.
Lemma floor_nat (R : archiNumDomainType) n : floor (n%:R : R) = n.
Proof. by apply/(@intr_inj R)/eqP; rewrite -[_ == _]intrEfloor. Qed.
Lemma absz_floor_nat (R : archiNumDomainType) n : `|floor (n%:R : R)|%N = n.
Proof.
by apply: (can_inj absz_nat); rewrite gez0_abs ?real_floor_ge0// floor_nat.
Qed.

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2 participants