Theorems · Theorem · combinatorics
Matroid.finite_setOfPred_isRestriction
∀ {α : Type u_1} (M : Matroid α) [M.Finite], {N | N.IsRestriction M}.Finite- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Matroid.Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- Set.Finitestatement · cited by 1,814
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Set.Finite.subsetproof · cited by 285
- Matroid.restrictproof · cited by 111
- Set.Finite.imageproof · cited by 96
- Matroid.IsRestrictionstatement and proof · cited by 45
- Matroid.Finitestatement and proof · cited by 9
- Set.Finite.finite_subsetsproof · cited by 5
- Matroid.ground_finiteproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.finite_setOf_isRestrictionproof · cited by 0