Theorems · Theorem · real analysis
ENNReal.sub_eq_of_eq_add
∀ {a b c : ENNReal}, b ≠ ⊤ → a = c + b → a - b = cSee ENNReal.sub_eq_of_eq_add' for a version assuming that a = c + b itself is finite rather
than b.
- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 2 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.
Cites4
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
- ENNReal.cancel_of_neproof · cited by 23
- AddLECancellable.tsub_eq_of_eq_addproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.HolderTriple.inv_sub_inv_eq_invproof · cited by 3
- MeasureTheory.Measure.rnDeriv_self_addproof · cited by 1