Theorems · Theorem · order theory
Order.IsSuccLimit.ne_zero
∀ {α : Type u_1} {a : α} [inst : Preorder α] [inst_1 : Zero α] [IsBotZeroClass α], Order.IsSuccLimit a → a ≠ 0- Defined in
- Mathlib.Order.SuccPred.Limit
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderZeroIsBotZeroClass
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
- LT.lt.ne'proof · cited by 1,417
- Order.IsSuccLimitstatement and proof · cited by 255
- IsBotZeroClassstatement and proof · cited by 71
- Order.IsSuccLimit.posproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.