Mathlib Map

Theorems · Theorem · order theory

Set.rangeSplitting_injective

∀ {α : Type u_1} {β : Type u_2} (f : α → β), Function.Injective (Set.rangeSplitting f)
Defined in
Mathlib.Data.Set.Image
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses Classical.choice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearIndependent.linearIndepOn_id · cited by 14LinearIndependent.linearI…AlgebraicIndependent.coe_range · cited by 1AlgebraicIndependent.coe_…Set.Elem · cited by 7166Set.ElemSet.range · cited by 4705Set.rangeSet.rangeSplitting · cited by 23Set.rangeSplittingSet.leftInverse_rangeSplitting · cited by 3Set.leftInverse_rangeSpli…Set.rangeSplitting_injectiveCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.