Theorems · Theorem · order theory
IsChain.mono
∀ {α : Type u_1} {r : α → α → Prop} {s t : Set α}, s ⊆ t → IsChain r t → IsChain r s- Defined in
- Mathlib.Order.Preorder.Chain
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- IsChainstatement · cited by 158
- Set.Pairwise.monoproof · cited by 55
Cited by3
Results whose statement or proof uses this declaration.
- Set.exists_isChain_of_le_chainHeightproof · cited by 4
- inter_subsingleton_of_isChain_of_isAntichainproof · cited by 1
- IsChain.diffproof · cited by 0