no goals
𝕜 : Type u_3
E : Type u_1
M : Type u_2
H : Type u_4
E' : Type ?u.167966
M' : Type ?u.167969
H' : Type ?u.167972
inst✝⁸ : NontriviallyNormedField 𝕜
inst✝⁷ : NormedAddCommGroup E
inst✝⁶ : NormedSpace 𝕜 E
inst✝⁵ : TopologicalSpace H
inst✝⁴ : TopologicalSpace M
f f' : LocalHomeomorph M H
I : ModelWithCorners 𝕜 E H
inst✝³ : NormedAddCommGroup E'
inst✝² : NormedSpace 𝕜 E'
inst✝¹ : TopologicalSpace H'
inst✝ : TopologicalSpace M'
I' : ModelWithCorners 𝕜 E' H'
x : M
s t : Set M
⊢ ↑(extend f I) '' (f.source ∩ f'.source) = (LocalEquiv.symm (extend f I) ≫ extend f' I).source
simp_rw [f.extend_coord_change_source, f.extend_coe, image_comp I f, trans_source'', symm_symm,
  symm_target]