Theorems · Theorem · real analysis
CauSeq.const_lt
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] {x y : α},
CauSeq.const abs x < CauSeq.const abs y ↔ x < y- Defined in
- Mathlib.Algebra.Order.CauSeq.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- CauSeqstatement and proof · cited by 189
- sub_posproof · cited by 147
- CauSeq.conststatement and proof · cited by 58
- CauSeq.Posproof · cited by 13
- CauSeq.const_subproof · cited by 3
- CauSeq.const_posproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- CauSeq.const_leproof · cited by 2
- Real.ratCast_ltproof · cited by 1
- CauSeq.lt_limproof · cited by 0
- CauSeq.lim_ltproof · cited by 0
- Real.cauSeq_convergesproof · cited by 0