Theorems · Theorem · field theory
UniformSpace.Completion.coe_inv
∀ {K : Type u_1} [inst : Field K] [inst_1 : UniformSpace K] [IsTopologicalDivisionRing K] [CompletableTopField K]
(x : K), (↑x)⁻¹ = ↑x⁻¹- Defined in
- Mathlib.Topology.Algebra.UniformField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- UniformSpacestatement and proof · cited by 2,040
- Nat.cast_zeroproof · cited by 1,870
- UniformSpace.Completionstatement and proof · cited by 192
- inv_zeroproof · cited by 184
- UniformSpace.Completion.coe'statement and proof · cited by 144
- IsTopologicalDivisionRingstatement and proof · cited by 8
- IsDenseEmbedding.injectiveproof · cited by 6
- CompletableTopFieldstatement and proof · cited by 5
- UniformSpace.Completion.hatInvproof · cited by 4
- UniformSpace.Completion.hatInv_extendsproof · cited by 2
- UniformSpace.Completion.isDenseEmbedding_coeproof · cited by 1
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