Theorems · Theorem · order theory
Set.not_isChain_of_chainHeight_lt_encard
∀ {α : Type u_1} (r : α → α → Prop) (s t : Set α), t ⊆ s → s.chainHeight r < t.encard → ¬IsChain r t- Defined in
- Mathlib.Order.Height
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ENatstatement · cited by 4,985
- le_reflproof · cited by 2,061
- Set.encardstatement and proof · cited by 327
- IsChainstatement and proof · cited by 158
- lt_imp_lt_of_le_of_leproof · cited by 53
- lt_self_iff_falseproof · cited by 41
- Set.chainHeightstatement and proof · cited by 22
- Set.encard_le_chainHeight_of_isChainproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Set.chainHeight_eq_top_iffproof · cited by 0