AffineEquiv.apply_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) (p : P₂), e (e.symm p) = p- Cited by
- 4 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
- Equiv.apply_symm_applyproof · cited by 346
- AffineEquivstatement and proof · cited by 191
- AffineEquiv.symmstatement · cited by 53
- AffineEquiv.toEquivproof · cited by 38
Cited by4
Results whose statement or proof uses this declaration.
- AffineIsometryEquiv.apply_symm_applyproof · cited by 3
- Convex.closure_subset_image_homothety_interior_of_one_ltproof · cited by 2
- AffineEquiv.affineSubspaceMap_apply_symm_applyproof · cited by 1
- AffineEquiv.symm_trans_selfproof · cited by 0