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Theorems · Inductive type · combinatorics

Matroid.Nonempty

{α : Type u_1} → Matroid α → Prop

Typeclass for a matroid having nonempty ground set. Just a wrapper for M.E.Nonempty.

Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
6 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
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Around this declaration

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

Matroid.ground_nonempty · cited by 2Matroid.ground_nonemptyMatroid.Nonempty.ground_nonempty · cited by 1Nonempty.ground_nonemptyMatroid.ground_nonempty_iff · cited by 0Matroid.ground_nonempty_i…Matroid.nonempty_type · cited by 0Matroid.nonempty_typeMatroid.eRk_le_one_iff · cited by 0Matroid.eRk_le_one_iffMatroid.eq_emptyOn_or_nonempty · cited by 0Matroid.eq_emptyOn_or_non…Matroid.Nonempty.casesOn · cited by 0Nonempty.casesOnMatroid.Nonempty.recOn · cited by 0Nonempty.recOnMatroid · cited by 1258MatroidMatroid.NonemptyCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.