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Theorems · Theorem · order theory

IsAntichain.flip

∀ {α : Type u_1} {r : α → α → Prop} {s : Set α}, IsAntichain r s → IsAntichain (flip r) s
Defined in
Mathlib.Order.Antichain
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
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Around this declaration

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

IsAntichain.swap · cited by 1IsAntichain.swapIsAntichain.image_compl · cited by 0IsAntichain.image_complIsMaxAntichain.symm · cited by 0IsMaxAntichain.symmSet · cited by 53352SetIsAntichain · cited by 105IsAntichainIsAntichain.flipCITED BYCITES

Cites2

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
  • IsAntichainstatement and proof · cited by 105

Cited by3

Results whose statement or proof uses this declaration.