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Theorems · Theorem · combinatorics

Matroid.contract_eq_self_iff

∀ {α : Type u_1} {M : Matroid α} {C : Set α}, M.contract C = M ↔ Disjoint C M.E
Defined in
Mathlib.Combinatorics.Matroid.Minor.Contract
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Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetDisjoint · cited by 2201DisjointMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.contract · cited by 103Matroid.contractMatroid.delete · cited by 86Matroid.deleteMatroid.dual · cited by 79Matroid.dualMatroid.dual_dual · cited by 22Matroid.dual_dualMatroid.dual_delete_dual · cited by 9Matroid.dual_delete_dualMatroid.dual_ground · cited by 9Matroid.dual_groundMatroid.dual_inj · cited by 8Matroid.dual_injMatroid.delete_eq_self_iff · cited by 4Matroid.delete_eq_self_iffMatroid.contract_eq_self_iffCITED BYCITES

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