Theorems · Theorem · real analysis
CauSeq.lt_total
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] (f g : CauSeq α abs),
f < g ∨ f ≈ g ∨ g < f- Defined in
- Mathlib.Algebra.Order.CauSeq.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 65 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.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- IsStrictOrderedRingstatement and proof · cited by 2,490
- absstatement and proof · cited by 1,814
- neg_subproof · cited by 272
- CauSeqstatement and proof · cited by 189
- CauSeq.LimZeroproof · cited by 46
- CauSeq.Posproof · cited by 13
- CauSeq.trichotomyproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- CauSeq.le_of_existsproof · cited by 9
- Real.cauSeq_convergesproof · cited by 0
- CauSeq.le_totalproof · cited by 0