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Theorems · Theorem · order theory

Pi.bot_apply

∀ {ι : Type u_1} {α' : ι → Type u_2} [inst : (i : ι) → Bot (α' i)] (i : ι), ⊥ i = ⊥
Defined in
Mathlib.Order.BoundedOrder.Basic
Cited by
2 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
Bot
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Around this declaration

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

ExpGrowth.expGrowthSup_zero · cited by 6ExpGrowth.expGrowthSup_ze…MeasureTheory.upcrossingsBefore_lt_of_exists_upcrossing · cited by 1MeasureTheory.upcrossings…Bot.bot · cited by 4720Bot.botBot · cited by 96BotPi.bot_applyCITED BYCITES

Cites2

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

  • Bot.botstatement · cited by 4,720
  • Botstatement and proof · cited by 96

Cited by2

Results whose statement or proof uses this declaration.