Theorems · Theorem · combinatorics
Matroid.IsNonloop.of_isRestriction
∀ {α : Type u_1} {M N : Matroid α} {e : α}, N.IsNonloop e → N.IsRestriction M → M.IsNonloop e- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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.IsNonloopstatement and proof · cited by 65
- Matroid.IsRestrictionstatement and proof · cited by 45
- Matroid.IsNonloop.of_restrictproof · cited by 3
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