Theorems · Theorem · commutative algebra
CauSeq.lim_inv
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] {β : Type u_2}
[inst_3 : Field β] {abv : β → α} [inst_4 : IsAbsoluteValue abv] [inst_5 : CauSeq.IsComplete β abv] {f : CauSeq β abv}
(hf : ¬f.LimZero), (f.inv hf).lim = f.lim⁻¹- Defined in
- Mathlib.Algebra.Order.CauSeq.Completion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites28
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
- one_mulproof · cited by 2,841
- IsStrictOrderedRingstatement and proof · cited by 2,490
- mul_commproof · cited by 2,262
- mul_assocproof · cited by 1,667
- CauSeqstatement and proof · cited by 189
- sub_mulproof · cited by 170
- IsAbsoluteValuestatement and proof · cited by 160
- mul_right_commproof · cited by 108
- CauSeq.constproof · cited by 58
- sub_subproof · cited by 54
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