Theorems · Theorem · general topology
Real.iSup_pow_of_ne_zero
∀ {ι : Sort u_1} {n : ℕ} {f : ι → ℝ}, (∀ (i : ι), 0 ≤ f i) → n ≠ 0 → (⨆ i, f i) ^ n = ⨆ i, f i ^ n- Defined in
- Mathlib.Topology.Instances.NNReal.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- iSupstatement · cited by 2,415
- IsEmptyproof · cited by 759
- zero_powproof · cited by 361
- isEmpty_or_nonemptyproof · cited by 269
- Real.iSup_of_isEmptyproof · cited by 14
- Real.iSup_powproof · cited by 2
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