Theorems · Theorem · combinatorics
Matroid.IsRestriction.loopless
∀ {α : Type u_1} {M N : Matroid α} [M.Loopless], N.IsRestriction M → N.Loopless- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Matroid.Loopless
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Matroid.restrictproof · cited by 111
- Matroid.IsRestrictionstatement and proof · cited by 45
- Set.empty_interproof · cited by 30
- Matroid.Looplessstatement and proof · cited by 16
- Matroid.loops_eq_emptyproof · cited by 2
- Matroid.restrict_loops_eqproof · cited by 1
- Matroid.loopless_iffproof · cited by 1
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