Mathlib Map

Theorems · Theorem · combinatorics

Matroid.IsCircuit.isCircuit_restrict_of_subset

∀ {α : Type u_1} {M : Matroid α} {C R : Set α}, M.IsCircuit C → C ⊆ R → (M.restrict R).IsCircuit C
Defined in
Mathlib.Combinatorics.Matroid.Circuit
Cited by
1 results in Mathlib
Foundations
Depth 81 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.

Matroid.restrict_isCircuit_iff · cited by 2Matroid.restrict_isCircui…Set · cited by 53352SetLE.le.trans · cited by 3151le.transMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.Indep · cited by 367Matroid.IndepMatroid.restrict · cited by 111Matroid.restrictMatroid.IsCircuit · cited by 108Matroid.IsCircuitIsCircuit.isCircuit_restrict_…CITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.