Theorems · Theorem · combinatorics
Matroid.mapEquiv_isBase_iff
∀ {α : Type u_1} {β : Type u_2} {M : Matroid α} {f : α ≃ β} {B : Set β},
(M.mapEquiv f).IsBase B ↔ M.IsBase (⇑f.symm '' B)- Defined in
- Mathlib.Combinatorics.Matroid.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Setstatement and proof · cited by 53,352
- Equivstatement and proof · cited by 8,337
- Set.imagestatement and proof · cited by 5,609
- Equiv.symmstatement and proof · cited by 3,681
- Matroidstatement and proof · cited by 1,258
- Equiv.injectiveproof · cited by 464
- Function.Injective.injOnproof · cited by 280
- Matroid.IsBasestatement and proof · cited by 239
- Equiv.symm_image_imageproof · cited by 12
- Matroid.mapEquivstatement · cited by 10
- Equiv.image_symm_imageproof · cited by 8
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