Theorems · Theorem · logic and foundations
Equiv.image_monotone
∀ {α : Type u_3} {β : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] {e : α ≃ β} (s : Set α),
Monotone ⇑e → Monotone ⇑(e.image s)- Defined in
- Mathlib.Logic.Equiv.Set
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Equivstatement and proof · cited by 8,337
- Preorderstatement and proof · cited by 7,952
- Set.Elemstatement · cited by 7,166
- Set.imagestatement · cited by 5,609
- Monotonestatement and proof · cited by 1,397
- Monotone.compproof · cited by 67
- Equiv.imagestatement · cited by 16
- Subtype.mono_coeproof · cited by 15
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