[Merged by Bors] - feat(data/set/intervals/image_preimage, algebra/ordered_monoid): new typeclass for interval bijection lemmas #6629
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…community/mathlib into has_exists_add_of_le
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…typeclass for interval bijection lemmas (#6629) This commit introduces a ``has_exists_add_of_le`` typeclass extending ``ordered_add_comm_monoid``; is the assumption needed so that additively translating an interval gives a bijection. We then prove this fact for all flavours of interval. https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there.20code.20for.20X.3F/topic/Correct.20setting.20for.20positive.20shifts.20of.20intervals Co-authored-by: Peter Nelson <71660771+apnelson1@users.noreply.github.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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…typeclass for interval bijection lemmas (#6629) This commit introduces a ``has_exists_add_of_le`` typeclass extending ``ordered_add_comm_monoid``; is the assumption needed so that additively translating an interval gives a bijection. We then prove this fact for all flavours of interval. https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there.20code.20for.20X.3F/topic/Correct.20setting.20for.20positive.20shifts.20of.20intervals Co-authored-by: Peter Nelson <71660771+apnelson1@users.noreply.github.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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This commit introduces a
has_exists_add_of_letypeclass extendingordered_add_comm_monoid; this is the assumption needed so that additively translating an interval gives a bijection. We then prove this fact for all flavours of interval.https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there.20code.20for.20X.3F/topic/Correct.20setting.20for.20positive.20shifts.20of.20intervals