Theorems · Theorem · commutative algebra
PowerSeries.map_cos
∀ {A : Type u_1} {A' : Type u_2} [inst : Ring A] [inst_1 : Ring A'] [inst_2 : Algebra ℚ A] [inst_3 : Algebra ℚ A']
(f : A →+* A'), (PowerSeries.map f) (PowerSeries.cos A) = PowerSeries.cos A'- Defined in
- Mathlib.RingTheory.PowerSeries.WellKnown
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Algebra.algebraMapproof · cited by 4,706
- map_zeroproof · cited by 1,614
- PowerSeriesstatement · cited by 797
- Nat.factorialproof · cited by 616
- Evenproof · cited by 444
- PowerSeries.mapstatement · cited by 82
- PowerSeries.extproof · cited by 69
- PowerSeries.coeff_mkproof · cited by 47
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.