Theorems · Theorem · commutative algebra
CauSeq.lim_lt
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α]
[inst_3 : CauSeq.IsComplete α abs] {f : CauSeq α abs} {x : α}, f < CauSeq.const abs x → f.lim < x- Defined in
- Mathlib.Algebra.Order.CauSeq.Completion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- CauSeq.conststatement and proof · cited by 58
- CauSeq.limstatement · cited by 35
- CauSeq.IsCompletestatement and proof · cited by 21
- CauSeq.equiv_limproof · cited by 15
- CauSeq.const_ltproof · cited by 5
- CauSeq.lt_of_eq_of_ltproof · cited by 2
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