Theorems · Theorem · real analysis
CauSeq.pow_equiv_pow
∀ {α : Type u_1} {β : Type u_2} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α]
[inst_3 : Ring β] {abv : β → α} [inst_4 : IsAbsoluteValue abv] {f1 f2 : CauSeq β abv},
f1 ≈ f2 → ∀ (n : ℕ), f1 ^ n ≈ f2 ^ n- Defined in
- Mathlib.Algebra.Order.CauSeq.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- pow_zeroproof · cited by 1,094
- pow_succ'proof · cited by 228
- CauSeqstatement and proof · cited by 189
- IsAbsoluteValuestatement and proof · cited by 160
- CauSeq.mul_equiv_mulproof · cited by 2
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