stdlib exports conflicting notations

File "./theories/All.v", line 3, characters 0-12361:
Warning: Notations "_ ^^ _" defined at level 30 with arguments constr
at next level, constr at level 30 and "_ ^^ _ --> _" defined at level 50
with arguments constr at next level, constr at next level
have incompatible prefixes. One of them will likely not work.
[notation-incompatible-prefix,parsing,default]

Zpower_alt infix vs some deprecated notation in NaryFunctions

File "./theories/All.v", line 3, characters 0-12361:
Warning: Notation "[ _ ]" was already used.
[notation-overridden,parsing,default]

rtauto vs vector

File "./theories/All.v", line 3, characters 0-12361:
Warning: Notation "[ _ ]" was already used.
[notation-overridden,parsing,default]

nsatz vs rtauto

File "./theories/All.v", line 3, characters 0-12361:
Warning: Overwriting previous delimiting key B in scope bool_scope
[overwriting-delimiting-key,parsing,default]

ssrbool vs datatypes

File "./theories/All.v", line 3, characters 0-12361:
Warning: Notation "_ === _" was already used in scope equiv_scope.
[notation-overridden,parsing,default]
File "./theories/All.v", line 3, characters 0-12361:
Warning: Notation "_ =/= _" was already used in scope equiv_scope.
[notation-overridden,parsing,default]
File "./theories/All.v", line 3, characters 0-12361:
Warning: Notation "_ =~= _" was already used in scope equiv_scope.
[notation-overridden,parsing,default]

CEquivalence vs Equivalence

File "./theories/All.v", line 3, characters 0-12361:
Warning: Notation "_ == _" was already used.
[notation-overridden,parsing,default]

setoid_ring.Algebra_syntax vs setoids

File "./theories/All.v", line 3, characters 0-12361:
Warning: Notation "_ ==b _" was already used.
[notation-overridden,parsing,default]
File "./theories/All.v", line 3, characters 0-12361:
Warning: Notation "_ <>b _" was already used.
[notation-overridden,parsing,default]

EquivDec vs SetoidDec (these 2 files are pretty similar, not sure why we have both)

Originally posted by @SkySkimmer in https://github.com/coq/coq/issues/19914#issuecomment-2545418807

Start with theories/All.v and reproduce the warnings listed there. Inspect the notation declarations in NaryFunctions, rtauto, vector, nsatz, ssrbool, datatypes, CEquivalence, Equivalence, setoid_ring.Algebra_syntax, setoids, EquivDec, and SetoidDec. Done means the conflicting or overridden notation warnings are resolved without breaking the affected scopes.