Theorems · Theorem · order theory
EquivLike.range_comp
∀ {ι : Sort u_1} {ι' : Sort u_2} {E : Type u_3} [inst : EquivLike E ι ι'] {α : Type u_4} (f : ι' → α) (e : E),
Set.range (f ∘ ⇑e) = Set.range f- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- EquivLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 53,352
- Set.rangestatement · cited by 4,705
- EquivLikestatement and proof · cited by 165
- EquivLike.surjectiveproof · cited by 24
- Function.Surjective.range_compproof · cited by 18
Cited by15
Results whose statement or proof uses this declaration.
- isTranscendenceBasis_equivproof · cited by 3
- IntermediateField.restrictScalars_adjoin_of_algEquivproof · cited by 2
- Order.enum_eq_iffproof · cited by 1
- Padic.isDenseInducing_cast_withValproof · cited by 1
- spec_cfcₙAuxproof · cited by 1
- IsDedekindDomain.HeightOneSpectrum.emultiplicity_iSupproof · cited by 1
- Profinite.NobelingProof.GoodProducts.span_sumproof · cited by 0
- MonoidAlgebra.range_mapproof · cited by 0
- Equiv.tsum_eq_tsum_of_supportproof · cited by 0
- OrderIso.map_maximal_memproof · cited by 0
- OrderIso.map_minimal_memproof · cited by 0
- AddMonoidAlgebra.range_mapproof · cited by 0