Theorems · Theorem · combinatorics
Matroid.eRk_singleton_eq
∀ {α : Type u_1} {M : Matroid α} {e : α} [M.Loopless],
autoParam (e ∈ M.E) Matroid.eRk_singleton_eq._auto_1 → M.eRk {e} = 1- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Matroid.Loopless
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENatstatement · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Matroid.eRkstatement · cited by 101
- Matroid.Looplessstatement and proof · cited by 16
- Matroid.isNonloop_of_looplessproof · cited by 6
- Matroid.IsNonloop.eRk_eqproof · cited by 3
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