Theorems · Theorem
Function.Surjective.injective_comp_right
∀ {α : Sort u_1} {β : Sort u_2} {γ : Sort u_3} {f : α → β}, Function.Surjective f → Function.Injective fun g => g ∘ f- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.Surjective.forallproof · cited by 214
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.ofHom_epi_iff_surjectiveproof · cited by 5
- DividedPowerAlgebra.algHom_ext_iffproof · cited by 3
- LinearMap.funLeft_injective_of_surjectiveproof · cited by 2
- Function.injective_comp_right_iff_surjectiveproof · cited by 2
- IsSymmetricAlgebra.algHom_extproof · cited by 1
- Function.Surjective.right_cancellableproof · cited by 1
- connectedComponents_lift_unique'proof · cited by 1
- Function.Surjective.isEmbedding_compproof · cited by 1
- CategoryTheory.Functor.thin_diagram_of_surjectiveproof · cited by 1
- AddChar.compAddMonoidHom_injective_leftproof · cited by 1
- Function.Bijective.comp_rightproof · cited by 0
- MonoidHom.compAddChar_injective_leftproof · cited by 0