Mathlib Map

Theorems · Definition · combinatorics

Matroid.emptyOn

(α : Type u_2) → Matroid α

The Matroid α with empty ground set.

Defined in
Mathlib.Combinatorics.Matroid.Constructions
Cited by
15 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matroid.loopyOn · cited by 32Matroid.loopyOnMatroid.loopyOn_closure_eq · cited by 5Matroid.loopyOn_closure_eqMatroid.ground_eq_empty_iff · cited by 4Matroid.ground_eq_empty_i…Matroid.loopyOn_empty · cited by 2Matroid.loopyOn_emptyMatroid.emptyOn_closure_eq · cited by 1Matroid.emptyOn_closure_eqMatroid.emptyOn_dual_eq · cited by 1Matroid.emptyOn_dual_eqMatroid.emptyOn_ground · cited by 1Matroid.emptyOn_groundMatroid.map_emptyOn · cited by 0Matroid.map_emptyOnMatroid.eRank_emptyOn · cited by 0Matroid.eRank_emptyOnMatroid.emptyOn_indep_iff · cited by 0Matroid.emptyOn_indep_iffMatroid.emptyOn_isBase_iff · cited by 0Matroid.emptyOn_isBase_iffMatroid.freeOn_empty · cited by 0Matroid.freeOn_emptyMatroid.eq_emptyOn · cited by 0Matroid.eq_emptyOnMatroid.eq_emptyOn_or_nonempty · cited by 0Matroid.eq_emptyOn_or_non…Matroid.restrict_empty · cited by 0Matroid.restrict_emptySet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.emptyOnCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setproof · cited by 53,352
  • Matroidstatement · cited by 1,258

Cited by16

Results whose statement or proof uses this declaration.