Commit 2025-09-17 11:12 88520b7e
View on Github →refactor(AbsoluteValue): generalise equivalence to non-real valued absolute values (#27964)
- Abstract the definition of
AbsoluteValue.IsEquiv
to anyAbsoluteValue R S
via preservation of partial orders (previously defined only for real absolute value using the power relation(v .)^c = w
) - Show
AbsoluteValue.IsEquiv
is equivalent to the power definition when the values are real - Two inequivalent absolute values
v
andw
have a pointx
at which1 < v x
andw x < 1