AffineEquiv.coe_ofEq_apply
∀ {k : Type u_1} {V₁ : Type u_2} {P₁ : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁]
[inst_3 : AddTorsor V₁ P₁] (S₁ S₂ : AffineSubspace k P₁) [inst_4 : Nonempty ↥S₁] [inst_5 : Nonempty ↥S₂] (h : S₁ = S₂)
(x : ↥S₁), ↑((AffineEquiv.ofEq S₁ S₂ h) x) = ↑x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Submodulestatement · cited by 7,192
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement and proof · cited by 871
- AffineSubspace.directionstatement · cited by 339
- AffineEquivstatement · cited by 191
- AffineEquiv.ofEqstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AffineSubspace.coe_ofEq_applyproof · cited by 0