Mathlib Map

Theorems · Theorem · order theory

not_top_covBy

∀ {α : Type u} [inst : Preorder α] [inst_1 : OrderTop α] {a : α}, ¬⊤ ⋖ a
Defined in
Mathlib.Order.BoundedOrder.Basic
Cited by
0 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
PreorderOrderTop

Around this declaration

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

Cites5

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

  • Top.topstatement and proof · cited by 9,680
  • Preorderstatement and proof · cited by 7,952
  • OrderTopstatement and proof · cited by 493
  • CovBystatement and proof · cited by 290
  • not_top_ltproof · cited by 17

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.