Theorems · Theorem · combinatorics
Matroid.ext_spanning
∀ {α : Type u_2} {M M' : Matroid α}, M.E = M'.E → (∀ S ⊆ M.E, M.Spanning S ↔ M'.Spanning S) → M = M'- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- LE.le.transproof · cited by 3,151
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Matroid.Indepproof · cited by 367
- Eq.subsetproof · cited by 124
- emproof · cited by 115
- Matroid.dualproof · cited by 79
- Matroid.Spanningstatement and proof · cited by 63
- Matroid.Coindepproof · cited by 24
- Matroid.Spanning.subset_groundproof · cited by 13
- Matroid.dual_groundproof · cited by 9
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