AffineEquiv.toEquiv_injective
∀ {k : Type u_1} {P₁ : Type u_2} {P₂ : Type u_3} {V₁ : Type u_6} {V₂ : Type u_7} [inst : Ring k]
[inst_1 : AddCommGroup V₁] [inst_2 : AddCommGroup V₂] [inst_3 : Module k V₁] [inst_4 : Module k V₂]
[inst_5 : AddTorsor V₁ P₁] [inst_6 : AddTorsor V₂ P₂], Function.Injective AffineEquiv.toEquiv- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Equivstatement · cited by 8,337
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- AffineEquivstatement and proof · cited by 191
- AffineEquiv.toEquivstatement and proof · cited by 38
- AffineEquiv.extproof · cited by 14
- Equiv.ext_iffproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- AffineEquiv.pointReflection_symmproof · cited by 2
- AffineEquiv.toEquiv_injproof · cited by 0