Theorems · Theorem · group theory
mulintEquivOfZPowersEqTop_strictMono
∀ {G : Type u_2} [inst : Infinite G] [inst_1 : CommGroup G] [inst_2 : PartialOrder G] [IsOrderedMonoid G] {g : G}
(hg : Subgroup.zpowers g = ⊤), 1 < g → StrictMono ⇑(intEquivOfZPowersEqTop g hg)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- StrictMonostatement · cited by 706
- IsOrderedMonoidstatement and proof · cited by 577
- Infinitestatement and proof · cited by 352
- Subgroup.zpowersstatement and proof · cited by 204
- intEquivOfZPowersEqTopstatement · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Valuation.IsRankOneDiscrete.valueGroup₀_equiv_withZeroMulInt_strictMonoproof · cited by 0