Theorems · Theorem · order theory
strictMono_restrict
Deprecated since 2026-07-19Use strictMono_domRestrict instead.
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] {f : α → β} {s : Set α},
StrictMono (s.domRestrict f) ↔ StrictMonoOn f sAlias of strictMono_domRestrict.
- Defined in
- Mathlib.Data.Set.Monotone
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Preorderstatement · cited by 7,952
- Set.Elemstatement · cited by 7,166
- StrictMonostatement · cited by 706
- Set.domRestrictstatement · cited by 383
- StrictMonoOnstatement · cited by 194
- strictMono_domRestrictproof · cited by 5
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