Theorems · Theorem · combinatorics
Matroid.Indep.sdiff
∀ {α : Type u_1} {M : Matroid α} {I : Set α}, M.Indep I → ∀ (X : Set α), M.Indep (I \ X)- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 61 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.Indepstatement and proof · cited by 367
- Set.sdiff_subsetproof · cited by 156
- Matroid.Indep.subsetproof · cited by 42
Cited by4
Results whose statement or proof uses this declaration.
- Matroid.Indep.insert_isCircuit_of_forallproof · cited by 2
- Matroid.Indep.mem_fundCircuit_iffproof · cited by 1
- Matroid.IsBase.exchange_base_of_notMem_closureproof · cited by 1
- Matroid.Indep.diffproof · cited by 0