Theorems · Theorem · order theory
Set.leftInverse_rangeFactorization_iff_injective
∀ {α : Type u_1} {β : Type u_2} (f : α → β),
Function.LeftInverse (Set.rangeSplitting f) (Set.rangeFactorization f) ↔ Function.Injective f- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemstatement · cited by 7,166
- Set.rangestatement · cited by 4,705
- Set.rangeFactorizationstatement and proof · cited by 56
- Set.rangeSplittingstatement and proof · cited by 23
- Set.rightInverse_rangeSplittingproof · cited by 4
- Set.rangeFactorization_injectiveproof · cited by 1
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