Mathlib Map

Theorems · Theorem · combinatorics

Matroid.IsCircuit.contract_diff_isCircuit

Deprecated since 2026-06-03Use Matroid.IsCircuit.contract_sdiff_isCircuit instead.

∀ {α : Type u_1} {M : Matroid α} {K C : Set α}, M.IsCircuit C → K.Nonempty → K ⊆ C → (M.contract (C \ K)).IsCircuit K

Alias of Matroid.IsCircuit.contract_sdiff_isCircuit.

Defined in
Mathlib.Combinatorics.Matroid.Minor.Contract
Cited by
0 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Set · cited by 53352SetSet.Nonempty · cited by 2627Set.NonemptyMatroid · cited by 1258MatroidMatroid.IsCircuit · cited by 108Matroid.IsCircuitMatroid.contract · cited by 103Matroid.contractMatroid.IsCircuit.contract_sdiff_isCircuit · cited by 2IsCircuit.contract_sdiff_…IsCircuit.contract_diff_isCir…CITED BYCITES

Cites6

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.