Theorems · Theorem · order theory
StrictAnti.mapsTo_Iio
∀ {α : Type u_1} {β : Type u_2} {f : α → β} [inst : Preorder α] [inst_1 : Preorder β] {b : α},
StrictAnti f → Set.MapsTo f (Set.Iio b) (Set.Ioi (f b))- Defined in
- Mathlib.Order.Interval.Set.Image
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Set.Ioistatement · cited by 1,463
- Set.Iiostatement · cited by 1,166
- Set.Iicproof · cited by 1,111
- Set.MapsTostatement · cited by 732
- StrictAntistatement and proof · cited by 204
- StrictAnti.strictAntiOnproof · cited by 16
- StrictAntiOn.mapsTo_Iioproof · cited by 2
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