Theorems · Theorem · commutative algebra
LaurentSeries.continuous_coe
∀ {K : Type u_2} [inst : Field K], Continuous ⇑(algebraMap (RatFunc K) (LaurentSeries K))- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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 · cited by 62,936
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- Algebra.algebraMapstatement · cited by 4,706
- Continuousstatement · cited by 2,592
- Multiplicativestatement · cited by 875
- WithZerostatement · cited by 586
- RatFuncstatement · cited by 301
- UniformContinuous.continuousproof · cited by 66
- LaurentSeriesstatement · cited by 64
- RatFunc.liftAlgebrastatement · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- LaurentSeries.continuous_coe'proof · cited by 1