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Theorems · Theorem · combinatorics

Matroid.IsRestriction.isLoop_iff

∀ {α : Type u_1} {M N : Matroid α} {e : α}, N.IsRestriction M → (N.IsLoop e ↔ e ∈ N.E ∧ M.IsLoop e)
Defined in
Mathlib.Combinatorics.Matroid.Loop
Cited by
2 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Matroid.IsLoop.isLoop_isRestriction · cited by 0IsLoop.isLoop_isRestricti…Matroid.IsLoop.of_isRestriction · cited by 0IsLoop.of_isRestrictionSet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.restrict · cited by 111Matroid.restrictMatroid.IsLoop · cited by 55Matroid.IsLoopMatroid.IsRestriction · cited by 45Matroid.IsRestrictionIsRestriction.isLoop_iffCITED BYCITES

Cites6

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Cited by2

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