Theorems · Theorem · order theory
lt_or_le_of_codirected
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : SuccOrder α] [IsSuccArchimedean α] {r v₁ v₂ : α},
r ≤ v₁ → r ≤ v₂ → v₁ < v₂ ∨ v₂ ≤ v₁- Defined in
- Mathlib.Order.SuccPred.Archimedean
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- SuccOrderstatement and proof · cited by 574
- lt_of_le_of_neproof · cited by 230
- IsSuccArchimedeanstatement and proof · cited by 88
- ne_of_not_leproof · cited by 5
- le_total_of_codirectedproof · cited by 1
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