AffineEquiv.eq_symm_apply
∀ {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] (e : P₁ ≃ᵃ[k] P₂) {p₁ : P₂} {p₂ : P₁},
p₂ = e.symm p₁ ↔ e p₂ = p₁- Cited by
- 3 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, 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.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- AffineEquivstatement and proof · cited by 191
- Equiv.eq_symm_applyproof · cited by 85
- AffineEquiv.symmstatement · cited by 53
- AffineEquiv.toEquivproof · cited by 38
Cited by3
Results whose statement or proof uses this declaration.
- ContinuousAffineEquiv.eq_symm_applyproof · cited by 1
- AffineEquiv.apply_eq_iff_eq_symm_applyproof · cited by 0
- AffineIsometryEquiv.eq_symm_applyproof · cited by 0