Theorems · Theorem · order theory
Flag.le_or_le
∀ {α : Type u_1} [inst : Preorder α] {a b : α} (s : Flag α), a ∈ s → b ∈ s → a ≤ b ∨ b ≤ a- Defined in
- Mathlib.Order.Preorder.Chain
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Flagstatement and proof · cited by 33
- IsChain.totalproof · cited by 12
- Flag.chain_leproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Flag.mem_iff_forall_le_or_geproof · cited by 3