Mathlib Map

Theorems · Definition · order theory

orderIsoShrink

(α : Type u_1) → [inst : Small.{u, u_1} α] → [inst_1 : Preorder α] → α ≃o Shrink.{u, u_1} α

The order isomorphism α ≃o Shrink.{u} α.

Defined in
Mathlib.Order.Shrink
Cited by
6 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SmallPreorder

Around this declaration

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

Cites6

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

  • Equivproof · cited by 8,337
  • Preorderstatement and proof · cited by 7,952
  • OrderIsostatement · cited by 874
  • Smallstatement and proof · cited by 369
  • Shrinkstatement and proof · cited by 132
  • equivShrinkproof · cited by 118

Cited by6

Results whose statement or proof uses this declaration.