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Theorems · Theorem · combinatorics

Matroid.Loopless.ground_eq

∀ {α : Type u_1} (M : Matroid α) [M.Loopless], M.E = {e | M.IsNonloop e}
Defined in
Mathlib.Combinatorics.Matroid.Loop
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext, Quot.sound
Assumes
Matroid.Loopless
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matroid.removeLoops_eq_self · cited by 2Matroid.removeLoops_eq_se…Set · cited by 53352SetSet.ofPred · cited by 6101Set.ofPredSet.ext · cited by 2266Set.extMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.IsNonloop · cited by 65Matroid.IsNonloopMatroid.Loopless · cited by 16Matroid.LooplessMatroid.isNonloop_of_loopless · cited by 6Matroid.isNonloop_of_loop…Matroid.IsNonloop.mem_ground · cited by 6IsNonloop.mem_groundLoopless.ground_eqCITED BYCITES

Cites9

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Cited by1

Results whose statement or proof uses this declaration.