Theorems · Theorem · order theory
Function.Injective.image_strictMono
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Injective f → StrictMono (Set.image f)- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.imagestatement · cited by 5,609
- StrictMonostatement · cited by 706
- Function.Injective.image_injectiveproof · cited by 33
- Monotone.strictMono_of_injectiveproof · cited by 22
- Set.monotone_imageproof · cited by 9
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