Theorems · Theorem · order theory
Setoid.quotientKerEquivOfRightInverse_apply
∀ {α : Type u_1} {β : Type u_2} (f : α → β) (g : β → α) (hf : Function.RightInverse g f) (a : Quotient (Setoid.ker f)),
(Setoid.quotientKerEquivOfRightInverse f g hf) a = Setoid.kerLift f a- Defined in
- Mathlib.Data.Setoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Setoid.kerstatement and proof · cited by 43
- Setoid.kerLiftstatement · cited by 9
- Setoid.quotientKerEquivOfRightInversestatement and proof · cited by 2
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