Theorems · Theorem · field theory
Polynomial.taylor_taylor
∀ {R : Type u_1} [inst : CommSemiring R] (f : Polynomial R) (r s : R),
(Polynomial.taylor r) ((Polynomial.taylor s) f) = (Polynomial.taylor (r + s)) f- Defined in
- Mathlib.Algebra.Polynomial.Taylor
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- map_addproof · cited by 964
- add_assocproof · cited by 746
- Polynomial.compproof · cited by 193
- Polynomial.taylorstatement · cited by 42
- Polynomial.X_compproof · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- RatFunc.taylor_mem_nonZeroDivisorsproof · cited by 2
- RatFunc.laurent_laurentproof · cited by 1
- Polynomial.sum_taylor_eqproof · cited by 0