Matroid.IsNonloop.closure_eq_closure_iff_isCircuit_of_ne

∀ {α : Type u_1} {M : Matroid α} {e f : α}, M.IsNonloop e → e ≠ f → (M.closure {e} = M.closure {f} ↔ M.IsCircuit {e, f})

Two distinct nonloops with the same closure form a circuit.

Defined in: Mathlib.Combinatorics.Matroid.Loop
Cited by: 1 results in Mathlib
Foundations: Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

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