Mathlib Map

Theorems · Definition · order theory

WithBot.unbotA

{α : Type u_1} → [Nonempty α] → WithBot α → α

Function that sends an element of WithBot α to α, with an arbitrary default value for ⊥.

Defined in
Mathlib.Order.WithBot
Cited by
10 results in Mathlib
Foundations
Depth 7 from the axioms · uses Classical.choice
Assumes
Nonempty
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

WithBot.unbotA_eq_unbot · cited by 1WithBot.unbotA_eq_unbotWithBot.tendsto_unbotA · cited by 1WithBot.tendsto_unbotAWithBot.lt_unbotA_iff · cited by 0WithBot.lt_unbotA_iffWithBot.unbotA_le_iff · cited by 0WithBot.unbotA_le_iffWithBot.unbotA_lt_iff · cited by 0WithBot.unbotA_lt_iffWithBot.continuousOn_unbotA · cited by 0WithBot.continuousOn_unbo…WithBot.unbotA_mono · cited by 0WithBot.unbotA_monoWithBot.sumHomeomorph · cited by 0WithBot.sumHomeomorphWithBot.unbotA.congr_simp · cited by 0unbotA.congr_simpWithBot.le_unbotA · cited by 0WithBot.le_unbotAWithBot.le_unbotA_iff · cited by 0WithBot.le_unbotA_iffWithBot · cited by 1498WithBotClassical.arbitrary · cited by 161Classical.arbitraryWithBot.unbotD · cited by 49WithBot.unbotDWithBot.unbotACITED BYCITES

Cites3

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

Cited by11

Results whose statement or proof uses this declaration.