Theorems · Theorem · real analysis
CauSeq.sup_limZero
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] {f g : CauSeq α abs},
f.LimZero → g.LimZero → (f ⊔ g).LimZero- Defined in
- Mathlib.Algebra.Order.CauSeq.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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.LimZerostatement and proof · cited by 46
- abs_ltproof · cited by 43
- exists_forall_ge_andproof · cited by 15
- sup_lt_iffproof · cited by 9
- lt_sup_iffproof · cited by 7
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