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Theorems · Theorem · combinatorics

Matroid.eRank_loopyOn

∀ {α : Type u_1} (X : Set α), (Matroid.loopyOn X).eRank = 0
Defined in
Mathlib.Combinatorics.Matroid.Rank.ENat
Cited by
2 results in Mathlib
Foundations
Depth 110 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.eRank_eq_zero_iff · cited by 2Matroid.eRank_eq_zero_iffMatroid.eq_loopyOn_iff_eRank · cited by 0Matroid.eq_loopyOn_iff_eR…Set · cited by 53352SetENat · cited by 4985ENatMatroid.E · cited by 550Matroid.EMatroid.eRank · cited by 36Matroid.eRankMatroid.loopyOn · cited by 32Matroid.loopyOnMatroid.eRank_def · cited by 12Matroid.eRank_defMatroid.eRk_loopyOn · cited by 1Matroid.eRk_loopyOnMatroid.eRank_loopyOnCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.