Theorems · Theorem · combinatorics
Matroid.isCircuit_antichain
∀ {α : Type u_1} {M : Matroid α}, IsAntichain (fun x1 x2 => x1 ⊆ x2) (Set.ofPred M.IsCircuit)- Defined in
- Mathlib.Combinatorics.Matroid.Circuit
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- Matroidstatement and proof · cited by 1,258
- Matroid.IsCircuitstatement and proof · cited by 108
- IsAntichainstatement · cited by 105
- Matroid.IsCircuit.depproof · cited by 15
- Minimal.eq_of_subsetproof · cited by 4
- Matroid.IsCircuit.minimalproof · cited by 1
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