ContinuousEval
📁 Source: Mathlib/Topology/Hom/ContinuousEval.lean
Statistics
| Metric | Count |
|---|---|
DefinitionsContinuousEval | 1 |
Theoremseval, eval, continuous_eval, of_continuous_forget, toContinuousEvalConst, toContinuousMapClass, eval, eval, eval | 9 |
| Total | 10 |
Continuous
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
eval 📖 | mathematical | Continuous | DFunLike.coe | — | compContinuousEval.continuous_evalprodMk |
ContinuousAt
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
eval 📖 | mathematical | ContinuousAt | DFunLike.coe | — | Filter.Tendsto.eval |
ContinuousEval
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
continuous_eval 📖 | mathematical | — | ContinuousinstTopologicalSpaceProdDFunLike.coe | — | — |
of_continuous_forget 📖 | mathematical | Continuous | ContinuousEval | — | Continuous.evalContinuous.fst'continuous_snd |
toContinuousEvalConst 📖 | mathematical | — | ContinuousEvalConst | — | Continuous.evalcontinuous_idcontinuous_const |
toContinuousMapClass 📖 | mathematical | — | ContinuousMapClass | — | Continuous.evalcontinuous_constcontinuous_id |
ContinuousOn
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
eval 📖 | mathematical | ContinuousOn | DFunLike.coe | — | ContinuousWithinAt.eval |
ContinuousWithinAt
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
eval 📖 | mathematical | ContinuousWithinAt | DFunLike.coe | — | Filter.Tendsto.eval |
Filter.Tendsto
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
eval 📖 | mathematical | Filter.Tendstonhds | DFunLike.coe | — | compContinuous.tendstoContinuousEval.continuous_evalprodMk_nhds |
(root)
Definitions
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