Theorems · Theorem · order theory
ENat.eq_top_iff_forall_ge
∀ {n : ℕ∞}, n = ⊤ ↔ ∀ (m : ℕ), ↑m ≤ n- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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
- ENatstatement and proof · cited by 4,985
- WithTop.eq_top_iff_forall_geproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Module.length_finsuppproof · cited by 2
- ENat.exists_nat_gtproof · cited by 1