Theorems · Theorem · order theory
isAtom_top
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : BoundedOrder α] [IsSimpleOrder α], IsAtom ⊤- Defined in
- Mathlib.Order.Atoms
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- BoundedOrderstatement and proof · cited by 270
- ne_of_ltproof · cited by 203
- IsAtomstatement · cited by 130
- IsSimpleOrderstatement and proof · cited by 54
- IsSimpleOrder.eq_bot_or_eq_topproof · cited by 32
- top_ne_botproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- isSimpleOrder_iff_isAtom_topproof · cited by 3
- isAtom_iff_eq_topproof · cited by 3
- isCoatom_botproof · cited by 2
- bot_covBy_topproof · cited by 0
- LieAlgebra.IsSimple.isAtom_topproof · cited by 0