Theorems · Theorem · real analysis
CauSeq.inv.congr_simp
∀ {α : Type u_1} {β : Type u_2} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α]
[inst_3 : DivisionRing β] {abv : β → α} [inst_4 : IsAbsoluteValue abv] (f f_1 : CauSeq β abv) (e_f : f = f_1)
(hf : ¬f.LimZero), f.inv hf = f_1.inv ⋯- Defined in
- Mathlib.Algebra.Order.CauSeq.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
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
- DivisionRingstatement and proof · cited by 1,062
- CauSeqstatement and proof · cited by 189
- IsAbsoluteValuestatement and proof · cited by 160
- CauSeq.LimZerostatement and proof · cited by 46
- CauSeq.invstatement and proof · cited by 8
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