Theorems · Theorem · real analysis
ENNReal.ofReal_sub
∀ (p : ℝ) {q : ℝ}, 0 ≤ q → ENNReal.ofReal (p - q) = ENNReal.ofReal p - ENNReal.ofReal q- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- ENNRealstatement and proof · cited by 9,879
- ENNReal.ofRealstatement and proof · cited by 863
- sub_add_cancelproof · cited by 344
- le_totalproof · cited by 294
- ENNReal.ofReal_le_ofRealproof · cited by 61
- sub_nonneg_of_leproof · cited by 37
- ENNReal.ofReal_ne_topproof · cited by 34
- tsub_eq_zero_of_leproof · cited by 26
- ENNReal.ofReal_addproof · cited by 26
- ENNReal.ofReal_of_nonposproof · cited by 9
- ENNReal.eq_sub_of_add_eqproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.withDensity_one_sub_rnDerivAuxproof · cited by 2
- EReal.toENNReal_subproof · cited by 0
- ProbabilityTheory.evariance_def'proof · cited by 0
- StieltjesFunction.measure_Iioproof · cited by 0
- StieltjesFunction.measure_Ioiproof · cited by 0