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Theorems · Theorem · combinatorics

Matroid.ext

∀ {α : Type u_1} {x y : Matroid α}, x.E = y.E → x.IsBase = y.IsBase → x.Indep = y.Indep → x = y
Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
2 results in Mathlib
Foundations
Depth 11 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.ext_isBase · cited by 7Matroid.ext_isBaseMatroid.ext_iff · cited by 0Matroid.ext_iffSet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.Indep · cited by 367Matroid.IndepMatroid.IsBase · cited by 239Matroid.IsBaseMatroid.ExchangeProperty · cited by 18Matroid.ExchangePropertyMatroid.ExistsMaximalSubsetProperty · cited by 13Matroid.ExistsMaximalSubs…Matroid.extCITED BYCITES

Cites7

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

Cited by2

Results whose statement or proof uses this declaration.