url stringclasses 147
values | commit stringclasses 147
values | file_path stringlengths 7 101 | full_name stringlengths 1 94 | start stringlengths 6 10 | end stringlengths 6 11 | tactic stringlengths 1 11.2k | state_before stringlengths 3 2.09M | state_after stringlengths 6 2.09M | input stringlengths 73 2.09M |
|---|---|---|---|---|---|---|---|---|---|
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | simp only [not_not] at fg | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | cases' fa.eventually_eq_or_eventually_ne ga with e e | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case neg.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyti... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | right | case pos
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticM... | Please generate a tactic in lean4 to solve the state.
STATE:
case pos
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | contrapose fg | case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticM... | case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticM... | Please generate a tactic in lean4 to solve the state.
STATE:
case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ :... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | simp only [not_not] | case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticM... | case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticM... | Please generate a tactic in lean4 to solve the state.
STATE:
case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ :... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | simp only [Filter.not_eventually, not_not] at fg | case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticM... | case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticM... | Please generate a tactic in lean4 to solve the state.
STATE:
case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ :... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | exact tendsto_nhds_unique_of_frequently_eq fc gc (fg.filter_mono nhdsWithin_le_nhds) | case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticM... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case pos.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ :... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | left | case neg.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyti... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | clear fa ga | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | replace e := (continuousAt_extChartAt I z).eventually e | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | replace e := Filter.EventuallyEq.fun_comp e (_root_.extChartAt I (f z)).symm | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | apply e.congr | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | simp only [Function.comp] | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | clear e | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | apply (fc.eventually_mem (extChartAt_source_mem_nhds I (f z))).mp | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | apply (gc.eventually_mem (extChartAt_source_mem_nhds I (g z))).mp | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | refine eventually_nhds_iff.mpr โจ(_root_.extChartAt I z).source,
fun x m gm fm โฆ ?_, isOpen_extChartAt_source _ _, mem_extChartAt_source I zโฉ | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | rw [โ fg] at gm | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | simp only [โ fg, PartialEquiv.left_inv _ m, PartialEquiv.left_inv _ fm,
PartialEquiv.left_inv _ gm] | case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inl.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | right | case neg.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyti... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | clear fa ga | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | simp only [eventually_nhdsWithin_iff, Set.mem_compl_singleton_iff] at e โข | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | replace e := (continuousAt_extChartAt I z).eventually e | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | apply (fc.eventually_mem ((extChartAt_source_mem_nhds I (f z)))).mp | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | apply (gc.eventually_mem ((extChartAt_source_mem_nhds I (g z)))).mp | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | apply ((isOpen_extChartAt_source I z).eventually_mem (mem_extChartAt_source I z)).mp | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | refine e.mp (eventually_of_forall ?_) | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | clear e | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | intro x h xm gm fm xz | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | rw [โ fg] at gm | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | simp only [โ fg, PartialEquiv.left_inv _ xm] at h | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | specialize h ((PartialEquiv.injOn _).ne xm (mem_extChartAt_source _ _) xz) | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicAt.eventually_eq_or_eventually_ne | [188, 1] | [220, 48] | rwa [โ (PartialEquiv.injOn _).ne_iff fm gm] | case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analy... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case neg.inr.h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
inst... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | generalize ht : {z | z โ s โง โแถ w in ๐ z, f w = a} = t | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | suffices st : s โ t by rw [โ ht] at st; exact fun z m โฆ (st m).2.self_of_nhds | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | refine p.subset_of_closure_inter_subset ?_ ?_ ?_ | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | rw [โ ht] at st | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | exact fun z m โฆ (st m).2.self_of_nhds | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | rw [isOpen_iff_eventually] | case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | intro z m | case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | simp only [Set.mem_setOf_eq, โ ht] at m โข | case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | exact ((o.eventually_mem m.1).and m.2.eventually_nhds).mp (eventually_of_forall fun y h โฆ h) | case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_1
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | use z | case refine_2
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManif... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_2
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | simp only [Set.mem_inter_iff, โ ht] | case h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManif... | case h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManif... | Please generate a tactic in lean4 to solve the state.
STATE:
case h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Top... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | exact โจzs, zs, cโฉ | case h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManif... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case h
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Top... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | intro z m | case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | simp only [Set.mem_inter_iff, mem_closure_iff_frequently] at m | case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | have aa : HolomorphicAt I I (fun _ โฆ a) z := holomorphicAt_const | case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | cases' (fa _ m.2).eventually_eq_or_eventually_ne aa with h h | case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case refine_3.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | rw [โ ht] | case refine_3.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | case refine_3.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | use m.2, h | case refine_3.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | simp only [eventually_nhdsWithin_iff, Set.mem_compl_singleton_iff] at h | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | have m' := m.1 | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | contrapose m' | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | simp only [Filter.not_frequently] | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | refine h.mp (eventually_of_forall ?_) | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | intro x i | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | by_cases xz : x = z | case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : An... | case pos
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
case refine_3.inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
i... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | rwa [xz] | case pos
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
case pos
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | specialize i xz | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | contrapose i | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | simp only [not_not, โ ht] at i โข | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const | [223, 1] | [242, 63] | exact i.2.self_of_nhds | case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case neg
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const' | [246, 1] | [251, 99] | rcases local_preconnected_nhdsSet p (isOpen_holomorphicAt.mem_nhdsSet.mpr fa)
with โจu, uo, su, ua, ucโฉ | X : Type
instโโธ : TopologicalSpace X
S : Type
instโโท : TopologicalSpace S
instโโถ : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโต : TopologicalSpace T
instโโด : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยณ : TopologicalSpace U
instโยฒ : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | case intro.intro.intro.intro
X : Type
instโโธ : TopologicalSpace X
S : Type
instโโท : TopologicalSpace S
instโโถ : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโต : TopologicalSpace T
instโโด : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยณ : TopologicalSpace U
instโยฒ : ChartedSpace โ... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโธ : TopologicalSpace X
S : Type
instโโท : TopologicalSpace S
instโโถ : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโต : TopologicalSpace T
instโโด : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยณ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | HolomorphicOn.const_of_locally_const' | [246, 1] | [251, 99] | exact fun w ws โฆ HolomorphicOn.const_of_locally_const (fun _ m โฆ ua m) (su zs) uo uc c w (su ws) | case intro.intro.intro.intro
X : Type
instโโธ : TopologicalSpace X
S : Type
instโโท : TopologicalSpace S
instโโถ : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโต : TopologicalSpace T
instโโด : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยณ : TopologicalSpace U
instโยฒ : ChartedSpace โ... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case intro.intro.intro.intro
X : Type
instโโธ : TopologicalSpace X
S : Type
instโโท : TopologicalSpace S
instโโถ : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโต : TopologicalSpace T
instโโด : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually_ne | [259, 1] | [265, 83] | have ca : _root_.HolomorphicAt I I (fun _ โฆ f z) z := holomorphicAt_const | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually_ne | [259, 1] | [265, 83] | cases' n.holomorphicAt.eventually_eq_or_eventually_ne ca with h h | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | case inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually_ne | [259, 1] | [265, 83] | have b := h.and_frequently n.nonconst | case inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
case inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually_ne | [259, 1] | [265, 83] | simp only [and_not_self_iff, Filter.frequently_false] at b | case inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case inl
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually_ne | [259, 1] | [265, 83] | simp only [eventually_nhdsWithin_iff, mem_compl_singleton_iff] at h | case inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | case inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | Please generate a tactic in lean4 to solve the state.
STATE:
case inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually_ne | [259, 1] | [265, 83] | convert h | case inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticMan... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case inr
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | intro w ws | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | replace n := n.nonconst | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | refine โจfa _ ws, ?_โฉ | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | contrapose n | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | simp only [Filter.not_frequently, not_not] at n โข | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | generalize ha : f w = a | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | rw [ha] at n | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | rw [eventually_nhds_iff] | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | refine โจs, ?_, o, zsโฉ | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | have c := fa.const_of_locally_const ws o p n | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | intro x m | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.on_preconnected | [272, 1] | [280, 32] | rw [c _ m, c _ zs] | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually | [283, 1] | [290, 77] | have lc : LocallyConnectedSpace S := ChartedSpace.locallyConnectedSpace โ _ | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually | [283, 1] | [290, 77] | rcases eventually_nhds_iff.mp n.holomorphicAt.eventually with โจs, fa, os, zsโฉ | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | case intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually | [283, 1] | [290, 77] | rcases locallyConnectedSpace_iff_open_connected_subsets.mp lc z s (os.mem_nhds zs) with
โจt, ts, ot, zt, ctโฉ | case intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu... | case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโ... | Please generate a tactic in lean4 to solve the state.
STATE:
case intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : T... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually | [283, 1] | [290, 77] | rw [eventually_nhds_iff] | case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโ... | case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโ... | Please generate a tactic in lean4 to solve the state.
STATE:
case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticM... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually | [283, 1] | [290, 77] | refine โจt, ?_, ot, ztโฉ | case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโ... | case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโ... | Please generate a tactic in lean4 to solve the state.
STATE:
case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticM... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.eventually | [283, 1] | [290, 77] | exact n.on_preconnected (HolomorphicOn.mono fa ts) zt ot ct.isPreconnected | case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโ... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case intro.intro.intro.intro.intro.intro.intro
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticM... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | nontrivialHolomorphicAt_of_mfderiv_ne_zero | [293, 1] | [297, 61] | refine โจfa, ?_โฉ | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | nontrivialHolomorphicAt_of_mfderiv_ne_zero | [293, 1] | [297, 61] | contrapose d | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | nontrivialHolomorphicAt_of_mfderiv_ne_zero | [293, 1] | [297, 61] | simp only [Filter.not_frequently, not_not] at d โข | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | nontrivialHolomorphicAt_of_mfderiv_ne_zero | [293, 1] | [297, 61] | generalize ha : f z = a | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | nontrivialHolomorphicAt_of_mfderiv_ne_zero | [293, 1] | [297, 61] | rw [ha] at d | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | nontrivialHolomorphicAt_of_mfderiv_ne_zero | [293, 1] | [297, 61] | apply HasMFDerivAt.mfderiv | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | case h
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifo... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | nontrivialHolomorphicAt_of_mfderiv_ne_zero | [293, 1] | [297, 61] | exact (hasMFDerivAt_const I I a _).congr_of_eventuallyEq d | case h
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifo... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case h
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : Top... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.comp | [300, 1] | [305, 8] | use fn.holomorphicAt.comp gn.holomorphicAt | X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : AnalyticManifold ๐(... | case nonconst
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : Topologica... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.comp | [300, 1] | [305, 8] | convert gn.nonconst.and_eventually (gn.holomorphicAt.continuousAt.eventually fn.eventually_ne) | case nonconst
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Analyt... | case h.e'_2.h.a
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Anal... | Please generate a tactic in lean4 to solve the state.
STATE:
case nonconst
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโ... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.comp | [300, 1] | [305, 8] | tauto | case h.e'_2.h.a
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยฒ : TopologicalSpace U
instโยน : ChartedSpace โ U
cmu : Anal... | no goals | Please generate a tactic in lean4 to solve the state.
STATE:
case h.e'_2.h.a
X : Type
instโโท : TopologicalSpace X
S : Type
instโโถ : TopologicalSpace S
instโโต : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโโด : TopologicalSpace T
instโยณ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
ins... |
https://github.com/girving/ray.git | 0be790285dd0fce78913b0cb9bddaffa94bd25f9 | Ray/AnalyticManifold/Nontrivial.lean | NontrivialHolomorphicAt.anti | [308, 1] | [316, 58] | replace h := h.nonconst | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : TopologicalSpace U
instโ : ChartedSpace โ U
cmu : AnalyticManifold ๐(โ... | Please generate a tactic in lean4 to solve the state.
STATE:
X : Type
instโโถ : TopologicalSpace X
S : Type
instโโต : TopologicalSpace S
instโโด : ChartedSpace โ S
cms : AnalyticManifold ๐(โ, โ) S
T : Type
instโยณ : TopologicalSpace T
instโยฒ : ChartedSpace โ T
cmt : AnalyticManifold ๐(โ, โ) T
U : Type
instโยน : Topologica... |
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