Theorems · Theorem · measure theory
ENNReal.tsum_comp_le_tsum_of_injective
∀ {α : Type u_1} {β : Type u_2} {f : α → β},
Function.Injective f → ∀ (g : β → ENNReal), ∑' (x : α), g (f x) ≤ ∑' (y : β), g y- Cited by
- 4 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Set.rangeproof · cited by 4,705
- SummationFilter.unconditionalstatement · cited by 2,068
- le_rflproof · cited by 1,558
- tsumstatement · cited by 1,148
- zero_leproof · cited by 382
- ENNReal.summableproof · cited by 59
- Summable.tsum_le_tsum_of_injproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.tsum_geometric_two_encode_le_twoproof · cited by 1
- ENNReal.tsum_le_tsum_comp_of_surjectiveproof · cited by 1
- tsum_geometric_encode_lt_topproof · cited by 0
- ENNReal.tsum_mono_subtypeproof · cited by 0