Theorem: Imo2019P2.Imo2019q2Cfg.sbtw_B_B₁_B₂ (Compfiles/Imo2019P2.lean)

State before:
V : Type u_1
Pt : Type u_2
inst✝³ : NormedAddCommGroup V
inst✝² : InnerProductSpace ℝ V
inst✝¹ : MetricSpace Pt
inst✝ : NormedAddTorsor V Pt
hd2 : Fact (finrank ℝ V = 2)
cfg : Imo2019q2Cfg V Pt
⊢ Sbtw ℝ cfg.B cfg.B₁ cfg.B₂
Tactic:
rw [← cfg.symm_A₂]
State after:
V : Type u_1
Pt : Type u_2
inst✝³ : NormedAddCommGroup V
inst✝² : InnerProductSpace ℝ V
inst✝¹ : MetricSpace Pt
inst✝ : NormedAddTorsor V Pt
hd2 : Fact (finrank ℝ V = 2)
cfg : Imo2019q2Cfg V Pt
⊢ Sbtw ℝ cfg.B cfg.B₁ cfg.symm.A₂

State before:
V : Type u_1
Pt : Type u_2
inst✝³ : NormedAddCommGroup V
inst✝² : InnerProductSpace ℝ V
inst✝¹ : MetricSpace Pt
inst✝ : NormedAddTorsor V Pt
hd2 : Fact (finrank ℝ V = 2)
cfg : Imo2019q2Cfg V Pt
⊢ Sbtw ℝ cfg.B cfg.B₁ cfg.symm.A₂
Tactic:
exact cfg.symm.sbtw_A_A₁_A₂
State after:
no goals