[Merged by Bors] - feat: MeasureSpace instance on unitInterval
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eric-wieser
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urkud
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urkud
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eric-wieser
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| /-- `unitInterval.symm` as a `MeasurableEquiv`. -/ | ||
| @[simps] | ||
| def symmMeasurableEquiv : I ≃ᵐ I := symmHomeomorph.toMeasurableEquiv |
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@urkud, do you think this is worth having, or should I delete it?
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I would remove it as it's so easy to access it from the homeomorphism.
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| Function.bijective_iff_has_inverse.mpr ⟨_, symm_symm, symm_symm⟩ | ||
| theorem symm_involutive : Function.Involutive (symm : I → I) := symm_symm | ||
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| theorem symm_bijective : Function.Bijective (symm : I → I) := symm_involutive.bijective |
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Do you mind adding deprecated aliases for old names (involutive_symm and bijective_symm below)? Otherwise LGTM. Thanks!
bors d+
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Also shows that it is a probability measure, and that `symm` is measurable. This deprecates two duplicate theorems. [Zulip](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/MeasureSpace.20instance.20on.20unitInterval/near/420921313)
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Also shows that it is a probability measure, and that `symm` is measurable. This deprecates two duplicate theorems. [Zulip](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/MeasureSpace.20instance.20on.20unitInterval/near/420921313)
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MeasureSpace instance on unitIntervalMeasureSpace instance on unitInterval
riccardobrasca
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Mar 1, 2024
Also shows that it is a probability measure, and that `symm` is measurable. This deprecates two duplicate theorems. [Zulip](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/MeasureSpace.20instance.20on.20unitInterval/near/420921313)
kbuzzard
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Also shows that it is a probability measure, and that `symm` is measurable. This deprecates two duplicate theorems. [Zulip](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/MeasureSpace.20instance.20on.20unitInterval/near/420921313)
dagurtomas
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Mar 22, 2024
Also shows that it is a probability measure, and that `symm` is measurable. This deprecates two duplicate theorems. [Zulip](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/MeasureSpace.20instance.20on.20unitInterval/near/420921313)
Louddy
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Apr 15, 2024
Also shows that it is a probability measure, and that `symm` is measurable. This deprecates two duplicate theorems. [Zulip](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/MeasureSpace.20instance.20on.20unitInterval/near/420921313)
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Also shows that it is a probability measure, and that
symmis measurable.This deprecates two duplicate theorems.
Zulip