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Theorems · Theorem · combinatorics

Matroid.loopyOn_spanning_iff

∀ {α : Type u_2} {X E : Set α}, (Matroid.loopyOn E).Spanning X ↔ X ⊆ E
Defined in
Mathlib.Combinatorics.Matroid.Closure
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Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetMatroid.E · cited by 550Matroid.EMatroid.Spanning · cited by 63Matroid.SpanningMatroid.loopyOn · cited by 32Matroid.loopyOnMatroid.spanning_iff · cited by 5Matroid.spanning_iffMatroid.loopyOn_closure_eq · cited by 5Matroid.loopyOn_closure_eqMatroid.loopyOn_ground · cited by 3Matroid.loopyOn_groundMatroid.loopyOn_spanning_iffCITED BYCITES

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