Theorems · Theorem · general topology
continuousOn_div
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] [inst_1 : TopologicalSpace G₀] [ContinuousInv₀ G₀] [ContinuousMul G₀],
ContinuousOn (fun p => p.1 / p.2) {p | p.2 ≠ 0}- Defined in
- Mathlib.Topology.Algebra.GroupWithZero
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Set.ofPredstatement · cited by 6,101
- ContinuousOnstatement · cited by 1,411
- GroupWithZerostatement and proof · cited by 691
- ContinuousMulstatement and proof · cited by 343
- ContinuousInv₀statement and proof · cited by 73
- ContinuousOn.divproof · cited by 11
- continuousOn_sndproof · cited by 6
- continuousOn_fstproof · cited by 5
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