Mathlib Map

Theorems · Definition · order theory

Equiv.bot

{α : Type u_1} → {β : Type u_2} → α ≃ β → [Bot β] → Bot α

Transfer Bot across an Equiv.

Defined in
Mathlib.Order.OrderDual
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
Bot
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Equiv.generalizedBooleanAlgebra · cited by 0Equiv.generalizedBooleanA…Equiv.generalizedCoheytingAlgebra · cited by 0Equiv.generalizedCoheytin…Equiv.completeLattice · cited by 0Equiv.completeLatticeEquiv.bot_def · cited by 0Equiv.bot_defEquiv.heytingAlgebra · cited by 0Equiv.heytingAlgebraDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivBot.bot · cited by 4720Bot.botEquiv.symm · cited by 3681Equiv.symmBot · cited by 96BotEquiv.botCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.