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Theorems · Theorem · combinatorics

Matroid.IsLoop.dual_isColoop

∀ {α : Type u_1} {M : Matroid α} {e : α}, M.IsLoop e → M✶.IsColoop e
Defined in
Mathlib.Combinatorics.Matroid.Loop
Cited by
2 results in Mathlib
Foundations
Depth 73 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.dual_isLoop_iff_isColoop · cited by 2Matroid.dual_isLoop_iff_i…Matroid.dual_isColoop_iff_isLoop · cited by 0Matroid.dual_isColoop_iff…Matroid · cited by 1258MatroidMatroid.dual · cited by 79Matroid.dualMatroid.IsLoop · cited by 55Matroid.IsLoopMatroid.IsColoop · cited by 38Matroid.IsColoopMatroid.dual_dual · cited by 22Matroid.dual_dualIsLoop.dual_isColoopCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.