Theorems · Theorem
Function.surjInv_eq
∀ {α : Sort u} {β : Sort v} {f : α → β} (h : Function.Surjective f) (b : β), f (Function.surjInv h b) = b- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses Classical.choice
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.surjInvstatement · cited by 63
Cited by18
Results whose statement or proof uses this declaration.
- Module.projective_lifting_propertyproof · cited by 13
- Function.rightInverse_surjInvproof · cited by 11
- Algebra.FormallySmooth.comp_surjectiveproof · cited by 6
- Function.comp_surjInvproof · cited by 5
- Function.Surjective.wellFounded_iffproof · cited by 2
- WellQuasiOrdered.of_surjectiveproof · cited by 1
- AddCommGroup.fg_of_descentproof · cited by 1
- OrderType.type_toTypeproof · cited by 1
- AddAction.IsPretransitive.of_embeddingproof · cited by 1
- Function.Surjective.card_le_card_add_one_iffproof · cited by 1
- MulAction.IsPretransitive.of_embeddingproof · cited by 1