Theorems · Theorem · group theory
mulintEquivOfZPowersEqTop_strictAnti
∀ {G : Type u_2} [inst : Infinite G] [inst_1 : CommGroup G] [inst_2 : PartialOrder G] [IsOrderedMonoid G] {g : G}
(hg : Subgroup.zpowers g = ⊤), g < 1 → StrictAnti ⇑(intEquivOfZPowersEqTop g hg)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- Subgroupstatement · cited by 3,593
- MulEquivstatement · cited by 1,142
- CommGroupstatement and proof · cited by 990
- Multiplicativestatement and proof · cited by 875
- IsOrderedMonoidstatement and proof · cited by 577
- Infinitestatement and proof · cited by 352
- StrictAntistatement · cited by 204
- Subgroup.zpowersstatement and proof · cited by 204
- Multiplicative.toAddproof · cited by 161
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