Theorems · Theorem · order theory
ENat.ceil_le
∀ {r : ENNReal} {n : ℕ∞}, ⌈r⌉ₑ ≤ n ↔ r ≤ ↑n- Defined in
- Mathlib.Algebra.Order.Floor.Extended
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- ENat.toENNRealstatement · cited by 103
- ENat.recTopCoeproof · cited by 75
- ENNReal.recTopCoeproof · cited by 48
- ENat.ceilstatement · cited by 41
Cited by4
Results whose statement or proof uses this declaration.
- ENat.le_ceil_selfproof · cited by 3
- ENat.ceil_eq_zeroproof · cited by 0
- ENat.gc_ceil_toENNRealproof · cited by 0
- ENat.lt_ceilproof · cited by 0