Theorems · Theorem · general topology
Polynomial.toContinuousMap_apply
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : TopologicalSpace R] [inst_2 : IsTopologicalSemiring R] (p : Polynomial R)
(x : R), p.toContinuousMap x = Polynomial.eval x p- Cited by
- 3 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- ContinuousMapstatement · cited by 2,491
- Polynomial.evalstatement · cited by 796
- IsTopologicalSemiringstatement and proof · cited by 442
- Polynomial.toContinuousMapstatement and proof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.toContinuousMapOn_X_eq_restrict_idproof · cited by 2
- polynomialFunctions_closure_eq_top'proof · cited by 1
- Polynomial.toContinuousMap_X_eq_idproof · cited by 1