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Theorems · Theorem · combinatorics

Matroid.IsCircuit.of_delete

∀ {α : Type u_1} {M : Matroid α} {D C : Set α}, (M.delete D).IsCircuit C → M.IsCircuit C
Defined in
Mathlib.Combinatorics.Matroid.Minor.Delete
Cited by
2 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Matroid.circuit_iff_delete_of_disjoint · cited by 0Matroid.circuit_iff_delet…Matroid.IsCocircuit.of_contract · cited by 0IsCocircuit.of_contractSet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.IsCircuit · cited by 108Matroid.IsCircuitMatroid.delete · cited by 86Matroid.deleteMatroid.delete_isCircuit_iff · cited by 4Matroid.delete_isCircuit_…IsCircuit.of_deleteCITED BYCITES

Cites5

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.