Theorems · Theorem · field theory
affineHomeomorph.congr_simp
∀ {𝕜 : Type u_2} [inst : Field 𝕜] [inst_1 : TopologicalSpace 𝕜] [inst_2 : IsTopologicalRing 𝕜] (a a_1 : 𝕜)
(e_a : a = a_1) (b b_1 : 𝕜), b = b_1 → ∀ (h : a ≠ 0), affineHomeomorph a b h = affineHomeomorph a_1 b_1 ⋯- Defined in
- Mathlib.Topology.Algebra.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Fieldstatement and proof · cited by 7,404
- Homeomorphstatement · cited by 725
- IsTopologicalRingstatement and proof · cited by 402
- affineHomeomorphstatement and proof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.