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Theorems · Theorem

Function.comp_surjInv

∀ {α : Sort u} {β : Sort v} {f : α → β} (hf : Function.Surjective f), f ∘ Function.surjInv hf = id
Defined in
Mathlib.Logic.Function.Basic
Cited by
5 results in Mathlib
Foundations
Depth 10 from the axioms · uses Classical.choice, Quot.sound
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Around this declaration

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

Algebra.FormallySmooth.comp_surjective · cited by 6FormallySmooth.comp_surje…AddSubgroup.IsFinitelyNormallyGenerated.comap · cited by 1IsFinitelyNormallyGenerat…TensorProduct.spanFinrank_top_eq_of_residueField · cited by 1TensorProduct.spanFinrank…Matrix.isAdjMatrix_submatrix_iff · cited by 1Matrix.isAdjMatrix_submat…Subgroup.IsFinitelyNormallyGenerated.comap · cited by 1IsFinitelyNormallyGenerat…Function.surjInv · cited by 63Function.surjInvFunction.surjInv_eq · cited by 18Function.surjInv_eqFunction.comp_surjInvCITED BYCITES

Cites2

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

Cited by5

Results whose statement or proof uses this declaration.