Theorems · Theorem · order theory
le_top
∀ {α : Type u} [inst : LE α] [inst_1 : OrderTop α] {a : α}, a ≤ ⊤- Defined in
- Mathlib.Order.BoundedOrder.Basic
- Cited by
- 411 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 6 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- OrderTopstatement and proof · cited by 493
- OrderTop.le_topproof · cited by 12
Cited by412
Results whose statement or proof uses this declaration.
- top_le_iffproof · cited by 175
- top_uniqueproof · cited by 102
- lt_top_iff_ne_topproof · cited by 95
- Filter.isBounded_le_of_topproof · cited by 75
- ne_top_of_ltproof · cited by 50
- Ideal.pow_le_pow_rightproof · cited by 39
- Filter.isCobounded_ge_of_topproof · cited by 38
- GaloisConnection.u_topproof · cited by 31
- inf_top_eqproof · cited by 30
- top_inf_eqproof · cited by 30
- iInf_negproof · cited by 27
- contDiffOn_univproof · cited by 25
Showing the 200 most cited of 412.