Theorems · Definition · commutative algebra
PowerSeries.exp
(A : Type u_1) → [inst : Ring A] → [Algebra ℚ A] → PowerSeries A
Power series for the exponential function at zero.
- Defined in
- Mathlib.RingTheory.PowerSeries.Exp
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Algebra.algebraMapproof · cited by 4,706
- PowerSeriesstatement · cited by 797
- Nat.factorialproof · cited by 616
- PowerSeries.mkproof · cited by 52
Cited by17
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_expstatement · cited by 9
- PowerSeries.constantCoeff_expstatement and proof · cited by 9
- sum_range_powproof · cited by 2
- bernoulli'_eq_zero_of_oddproof · cited by 2
- PowerSeries.exp_mul_exp_eq_exp_addstatement · cited by 2
- PowerSeries.exp_pow_eq_rescale_expstatement and proof · cited by 2
- bernoulli'PowerSeries_mul_exp_sub_onestatement and proof · cited by 1
- PowerSeries.exp_mul_exp_neg_eq_onestatement and proof · cited by 1
- PowerSeries.exp_pow_sumstatement · cited by 1
- bernoulliPowerSeries_mul_exp_sub_onestatement and proof · cited by 1
- PowerSeries.derivative_expstatement and proof · cited by 1
- PowerSeries.isUnit_expstatement · cited by 1