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Theorems · Theorem · combinatorics

Matroid.setOfPred_isNonloop_eq

∀ {α : Type u_1} (M : Matroid α), {e | M.IsNonloop e} = M.E \ M.loops
Defined in
Mathlib.Combinatorics.Matroid.Loop
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Matroid.closure_inter_setOfPred_isNonloop_eq · cited by 1Matroid.closure_inter_set…Matroid.setOf_isNonloop_eq · cited by 0Matroid.setOf_isNonloop_eqSet · 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.loops · cited by 52Matroid.loopsMatroid.isNonloop_iff_mem_compl_loops · cited by 2Matroid.isNonloop_iff_mem…Matroid.setOfPred_isNonloop_eqCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.