Theorems · Theorem · order theory
IsStronglyAtomic.of_wellFounded_lt
∀ {α : Type u_2} [inst : PartialOrder α], (WellFounded fun x1 x2 => x1 < x2) → IsStronglyAtomic α- Defined in
- Mathlib.Order.Atoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- Set.Iocproof · cited by 971
- Eq.leproof · cited by 605
- WellFounded.minproof · cited by 33
- WellFounded.min_memproof · cited by 23
- WellFounded.not_lt_minproof · cited by 20
- IsStronglyAtomicstatement · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- IsStronglyCoatomic.of_wellFounded_gtproof · cited by 0