Theorems · Theorem · order theory
Order.succ_strictMono
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : SuccOrder α] [NoMaxOrder α], StrictMono Order.succ- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderSuccOrderNoMaxOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Order.succstatement · cited by 633
- SuccOrderstatement and proof · cited by 574
- NoMaxOrderstatement and proof · cited by 340
- Order.succ_lt_succproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- WittVector.fontaineThetaproof · cited by 5
- WittVector.mk_pow_fontaineThetaproof · cited by 2
- Order.Ioo_eq_empty_iff_le_succproof · cited by 0