Theorems · Theorem · order theory
LinearOrderedAddCommGroupWithTop.top_ne_zero
∀ {α : Type u_2} [inst : LinearOrderedAddCommGroupWithTop α], ⊤ ≠ 0- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
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
- zero_addproof · cited by 2,366
- exists_neproof · cited by 101
- LinearOrderedAddCommGroupWithTopstatement and proof · cited by 37
- LinearOrderedAddCommGroupWithTop.top_add'proof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- LinearOrderedAddCommGroupWithTop.zero_ne_topproof · cited by 0
- LinearOrderedAddCommGroupWithTop.top_posproof · cited by 0