Theorems · Theorem · order theory
WithBot.lt_succ
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : OrderBot α] [inst_2 : SuccOrder α] [NoMaxOrder α] (x : WithBot α),
x < ↑x.succ- Defined in
- Mathlib.Order.SuccPred.WithBot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Preorderstatement and proof · cited by 7,952
- WithBotstatement and proof · cited by 1,498
- OrderBotstatement and proof · cited by 1,055
- SuccOrderstatement and proof · cited by 574
- WithBot.somestatement · cited by 541
- NoMaxOrderstatement and proof · cited by 340
- Order.lt_succproof · cited by 45
- WithBot.succstatement · cited by 30
- WithBot.succ_eq_succproof · cited by 1
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