AffineBasis.ext
∀ {ι : Type u_1} {k : Type u_5} {V : Type u_6} {P : Type u_7} [inst : AddCommGroup V] [inst_1 : AddTorsor V P]
[inst_2 : Ring k] [inst_3 : Module k V] {b₁ b₂ : AffineBasis ι k P}, ⇑b₁ = ⇑b₂ → b₁ = b₂- Defined in
- Mathlib.LinearAlgebra.AffineSpace.Basis
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- DFunLike.coe_injectiveproof · cited by 161
- AffineBasisstatement and proof · cited by 65
Cited by2
Results whose statement or proof uses this declaration.
- AffineBasis.ext_iffproof · cited by 0
- AffineBasis.reindex_reflproof · cited by 0