Theorems · Theorem · general topology
Polynomial.toContinuousMapOn_X_eq_restrict_id
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : TopologicalSpace R] [inst_2 : IsTopologicalSemiring R] (s : Set R),
Polynomial.X.toContinuousMapOn s = ContinuousMap.restrict s (ContinuousMap.id R)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- Set.Elemstatement and proof · cited by 7,166
- ContinuousMapstatement · cited by 2,491
- Polynomial.Xstatement and proof · cited by 1,639
- IsTopologicalSemiringstatement and proof · cited by 442
- Polynomial.eval_Xproof · cited by 172
- ContinuousMap.extproof · cited by 92
- ContinuousMap.idstatement · cited by 73
- ContinuousMap.restrictstatement · cited by 61
- Polynomial.toContinuousMapOnstatement · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_idproof · cited by 1
- ContinuousMap.induction_onproof · cited by 1