Theorems · Theorem · approximation theory
LinearGrowth.linearGrowthInf_add_le
∀ {u v : ℕ → EReal},
LinearGrowth.linearGrowthSup u ≠ ⊥ ∨ LinearGrowth.linearGrowthInf v ≠ ⊤ →
LinearGrowth.linearGrowthSup u ≠ ⊤ ∨ LinearGrowth.linearGrowthInf v ≠ ⊥ →
LinearGrowth.linearGrowthInf (u + v) ≤ LinearGrowth.linearGrowthSup u + LinearGrowth.linearGrowthInf vSee linearGrowthInf_add_le' for a version with swapped argument u and v.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Bot.botstatement and proof · cited by 4,720
- ERealstatement and proof · cited by 793
- Filter.Eventually.of_forallproof · cited by 526
- Nat.cast_nonneg'proof · cited by 245
- Pi.add_applyproof · cited by 61
- LinearGrowth.linearGrowthInfstatement and proof · cited by 41
- LinearGrowth.linearGrowthSupstatement and proof · cited by 38
- LE.le.trans_eq'proof · cited by 21
- Filter.liminf_congrproof · cited by 14
- EReal.add_div_of_nonneg_rightproof · cited by 8
- EReal.liminf_add_leproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LinearGrowth.linearGrowthInf_add_le'proof · cited by 1