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Theorems · Theorem · order theory

WithBot.succ_strictMono

∀ {α : Type u_1} [inst : Preorder α] [inst_1 : OrderBot α] [inst_2 : SuccOrder α] [NoMaxOrder α],
  StrictMono WithBot.succ
Defined in
Mathlib.Order.SuccPred.WithBot
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PreorderOrderBotSuccOrderNoMaxOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WithBot.succ_lt_succ · cited by 0WithBot.succ_lt_succPreorder · cited by 7952PreorderBot.bot · cited by 4720Bot.botWithBot · cited by 1498WithBotOrderBot · cited by 1055OrderBotStrictMono · cited by 706StrictMonoSuccOrder · cited by 574SuccOrderWithBot.some · cited by 541WithBot.someNoMaxOrder · cited by 340NoMaxOrderWithBot.succ · cited by 30WithBot.succOrder.succ_lt_succ · cited by 2Order.succ_lt_succWithBot.succ_strictMonoCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.