Theorems · Theorem · order theory
Function.Involutive.image_eq_preimage_symm
∀ {α : Type u_1} {f : α → α}, Function.Involutive f → Set.image f = Set.preimage f- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.imagestatement · cited by 5,609
- Set.preimagestatement · cited by 4,946
- Function.Involutivestatement and proof · cited by 103
- Set.image_eq_preimage_of_inverseproof · cited by 27
- Function.Involutive.leftInverseproof · cited by 5
- Function.Involutive.rightInverseproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.support_eq_sInterproof · cited by 0
- compactSpace_generateFrom_of_compl_memproof · cited by 0