Theorems · Theorem · logic and foundations
Equiv.image_preimage
∀ {α : Type u_3} {β : Type u_4} (e : α ≃ β) (s : Set β), ⇑e '' ⇑e ⁻¹' s = s- Defined in
- Mathlib.Logic.Equiv.Set
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, 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.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Equivstatement and proof · cited by 8,337
- Set.imagestatement · cited by 5,609
- Set.preimagestatement · cited by 4,946
- Equiv.surjectiveproof · cited by 198
- Function.Surjective.image_preimageproof · cited by 16
Cited by8
Results whose statement or proof uses this declaration.
- eVariationOn.comp_ofDualproof · cited by 11
- OrderIso.image_preimageproof · cited by 4
- MeasureTheory.Measure.infinitePi_map_piCongrLeftproof · cited by 1
- CompactCoherentification.isCompact_iffproof · cited by 1
- UniformEquiv.image_preimageproof · cited by 0
- MeasurableEquiv.image_preimageproof · cited by 0
- SimpleGraph.Iso.image_neighborSetproof · cited by 0
- Homeomorph.image_preimageproof · cited by 0