Theorems · Theorem · commutative algebra
CauSeq.Completion.mk_eq_zero
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] {β : Type u_2}
[inst_3 : Ring β] {abv : β → α} [inst_4 : IsAbsoluteValue abv] {f : CauSeq β abv},
CauSeq.Completion.mk f = 0 ↔ f.LimZero- 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
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- IsStrictOrderedRingstatement and proof · cited by 2,490
- sub_zeroproof · cited by 938
- CauSeqstatement and proof · cited by 189
- IsAbsoluteValuestatement and proof · cited by 160
- CauSeq.Completion.Cauchystatement · cited by 62
- Quotient.eqproof · cited by 50
- CauSeq.LimZerostatement and proof · cited by 46
- CauSeq.Completion.mkstatement and proof · cited by 24
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