Theorems · Theorem · combinatorics
Matroid.IsRkFinite.isRkFinite_sdiff_iff
∀ {α : Type u_1} {M : Matroid α} {X Y : Set α}, M.IsRkFinite X → (M.IsRkFinite (Y \ X) ↔ M.IsRkFinite Y)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.IsRkFinitestatement and proof · cited by 53
- Set.union_sdiff_selfproof · cited by 28
- Matroid.IsRkFinite.isRkFinite_union_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.IsRkFinite.sdiff_singleton_iffproof · cited by 1
- Matroid.IsRkFinite.isRkFinite_diff_iffproof · cited by 0