Theorems · Theorem · real analysis
integral_exp
∀ {a b : ℝ}, ∫ (x : ℝ) in a..b, Real.exp x = Real.exp b - Real.exp a- Cited by
- 2 results in Mathlib
- Foundations
- Depth 270 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- Real.expstatement and proof · cited by 871
- intervalIntegralstatement · cited by 546
- Set.uIccproof · cited by 393
- intervalIntegral.integral_deriv_eq_sub'proof · cited by 6
- Real.continuousOn_expproof · cited by 2
- Real.deriv_expproof · cited by 2
- Real.differentiableAt_expproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- integral_exp_Iicproof · cited by 2
- integrableOn_exp_Iicproof · cited by 2