Theorems · Definition · field theory
IsTopologicalDivisionRing.casesOn
{K : Type u_1} →
[inst : DivisionRing K] →
[inst_1 : TopologicalSpace K] →
{motive : IsTopologicalDivisionRing K → Sort u} →
(t : IsTopologicalDivisionRing K) →
([toIsTopologicalRing : IsTopologicalRing K] → [toContinuousInv₀ : ContinuousInv₀ K] → motive ⋯) → motive t- Defined in
- Mathlib.Topology.Algebra.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingTopologicalSpace
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
- DivisionRingstatement and proof · cited by 1,062
- IsTopologicalRingstatement and proof · cited by 402
- ContinuousInv₀statement and proof · cited by 73
- IsTopologicalDivisionRingstatement and proof · cited by 8
Cited by0
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