Mathlib Map

Theorems · Theorem · combinatorics

Matroid.Spanning.closure_eq

∀ {α : Type u_2} {M : Matroid α} {S : Set α}, M.Spanning S → M.closure S = M.E
Defined in
Mathlib.Combinatorics.Matroid.Closure
Cited by
4 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matroid.Spanning.superset · cited by 7Spanning.supersetMatroid.IsCircuit.inter_isCocircuit_ne_singleton · cited by 2IsCircuit.inter_isCocircu…Matroid.spanning_iff_exists_isBase_subset' · cited by 1Matroid.spanning_iff_exis…Matroid.Spanning.contract_eq_loopyOn · cited by 0Spanning.contract_eq_loop…Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.closure · cited by 272Matroid.closureMatroid.Spanning · cited by 63Matroid.SpanningSpanning.closure_eqCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.