Theorems · Theorem · order theory
ENat.lt_floor
∀ {r : ENNReal} {n : ℕ∞}, n ≠ ⊤ → (n < ⌊r⌋ₑ ↔ ↑n + 1 ≤ r)- Defined in
- Mathlib.Algebra.Order.Floor.Extended
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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.topstatement and proof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- ENat.toENNRealstatement and proof · cited by 103
- ENat.floorstatement and proof · cited by 38
- ENat.toENNReal_oneproof · cited by 12
- ENat.add_one_le_iffproof · cited by 11
- ENat.toENNReal_addproof · cited by 3
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