Theorems · Theorem · order theory
isAtomic_of_orderBot_wellFounded_lt
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : OrderBot α], (WellFounded fun x1 x2 => x1 < x2) → IsAtomic α- Defined in
- Mathlib.Order.Atoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderOrderBot
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- OrderBotstatement and proof · cited by 1,055
- IsAtomicstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- isCoatomic_of_orderTop_gt_wellFoundedproof · cited by 0