Mathlib Map

Theorems · Theorem · combinatorics

Matroid.delete_ground

∀ {α : Type u_1} (M : Matroid α) (D : Set α), (M.delete D).E = M.E \ D
Defined in
Mathlib.Combinatorics.Matroid.Minor.Delete
Cited by
6 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matroid.contract_delete_comm · cited by 3Matroid.contract_delete_c…Matroid.delete_contract_eq_sdiff · cited by 3Matroid.delete_contract_e…Matroid.IsMinor.eq_of_ground_subset · cited by 2IsMinor.eq_of_ground_subs…Matroid.delete_dep_iff · cited by 2Matroid.delete_dep_iffMatroid.Indep.contract_isBase_iff · cited by 1Indep.contract_isBase_iffMatroid.delete_isBasis'_iff · cited by 0Matroid.delete_isBasis'_i…Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.delete · cited by 86Matroid.deleteMatroid.delete_groundCITED BYCITES

Cites4

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

Cited by6

Results whose statement or proof uses this declaration.