Matrix.of_mem_specialOrthogonalGroup_fin_two_iff

∀ {R : Type v} [inst : CommRing R] {a b c d : R},
  !![a, b; c, d] ∈ Matrix.specialOrthogonalGroup (Fin 2) R ↔ a = d ∧ b = -c ∧ a ^ 2 + b ^ 2 = 1

Defined in: Mathlib.LinearAlgebra.UnitaryGroup
Cited by: 1 results in Mathlib
Foundations: Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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