Theorems · Theorem · order theory
StrictAnti.image_Iio_subset
∀ {α : Type u_1} {β : Type u_2} {f : α → β} [inst : Preorder α] [inst_1 : Preorder β] {b : α},
StrictAnti f → f '' Set.Iio b ⊆ Set.Ioi (f b)- Defined in
- Mathlib.Order.Interval.Set.Image
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.imagestatement · cited by 5,609
- Set.Ioistatement · cited by 1,463
- Set.Iiostatement · cited by 1,166
- Set.Iicproof · cited by 1,111
- StrictAntistatement and proof · cited by 204
- StrictAnti.strictAntiOnproof · cited by 16
- StrictAntiOn.image_Iio_subsetproof · cited by 2
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