Theorems · Theorem · order theory
UpperSet.Ioi_strictMono
∀ (α : Type u_1) [inst : Preorder α], StrictMono UpperSet.Ioi
- Defined in
- Mathlib.Order.UpperLower.Principal
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- StrictMonostatement · cited by 706
- UpperSetstatement · cited by 245
- UpperSet.Ioistatement · cited by 15
- Set.Ioi_ssubset_Ioiproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- FiniteArchimedeanClass.ballAddSubgroup_strictAntiproof · cited by 1
- ArchimedeanClass.ballAddSubgroup_antitoneproof · cited by 0
- MulArchimedeanClass.ballSubgroup_antitoneproof · cited by 0
- FiniteMulArchimedeanClass.ballSubgroup_strictAntiproof · cited by 0