Theorems · Definition · group theory

FaithfulVAdd.recOn

{G : Type u_4} →
  {P : Type u_5} →
    [inst : VAdd G P] →
      {motive : FaithfulVAdd G P → Sort u} →
        (t : FaithfulVAdd G P) →
          ((eq_of_vadd_eq_vadd : ∀ {g₁ g₂ : G}, (∀ (p : P), g₁ +ᵥ p = g₂ +ᵥ p) → g₁ = g₂) → motive ⋯) → motive t

Defined in: Mathlib.Algebra.Group.Action.Faithful
Cited by: 0 results in Mathlib
Foundations: Depth 6 from the axioms · uses no axioms
Assumes: VAdd

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HVAdd.hVAddstatement and proof · cited by 1,820
VAddstatement and proof · cited by 616
FaithfulVAddstatement and proof · cited by 17

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