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@SnirBroshi SnirBroshi commented Feb 6, 2026

Add a non-dependent recursor on members of a fromRel set, and the following Equivs:

  • The fromRel set of a symmetric relation r is equivalent to summing that set restricted to fibers of f.

  • For a relation homomorphism r →r r' where r is symmetric, the fromRel set of r is equivalent to summing that set restricted to equivalence classes of r' using a Subtype.


I find this recursor pretty useful when dealing with fromRel, the idea came from a suggestion by @kmill on Zulip for another Sym2 conundrum.

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PR summary 5458d20504

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Mathlib.Data.Sym.Sym2 475 477 +2 (+0.42%)
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2

Declarations diff

+ _root_.Equiv.sigmaFiberFromRel
+ _root_.Equiv.sigmaQuotFromRel
+ _root_.Equiv.sigmaQuotientFromRel
+ fromRelNdrec
+ mem_fromRel_comap

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@SnirBroshi
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SnirBroshi commented Feb 7, 2026

Similar to #34907 I tried to generalize to fibers, and I think it worked :)
I kept the quotient versions since they're not trivial as in that previous PR.

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