[Merged by Bors] - chore(*): add a few more unique instances
#4511
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* `linear_map.unique_of_left`, `linear_map.unique_of_right`, `continuous_linear_map.unique_of_left`, `continuous_linear_map.unique_of_right`: if either `M` or `M₂` is a `subsingleton`, then both `M →ₗ[R] M₂` and `M →L[R] M₂` are `unique`; * `pi.unique`: if each `β a` is `unique`, then `Π a, β a` is `unique`; * rename `function.injective.comap_subsingleton` to `function.injective.subsingleton`; * add `unique.mk'` and `function.injective.unique`; * add a few `simp` lemmas for `default`; * drop `nonempty_unique_or_exists_ne` and `subsingleton_or_exists_ne`.
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* `linear_map.unique_of_left`, `linear_map.unique_of_right`, `continuous_linear_map.unique_of_left`, `continuous_linear_map.unique_of_right`: if either `M` or `M₂` is a `subsingleton`, then both `M →ₗ[R] M₂` and `M →L[R] M₂` are `unique`; * `pi.unique`: if each `β a` is `unique`, then `Π a, β a` is `unique`; * rename `function.injective.comap_subsingleton` to `function.injective.subsingleton`; * add `unique.mk'` and `function.injective.unique`; * add a few `simp` lemmas for `default`; * drop `nonempty_unique_or_exists_ne` and `subsingleton_or_exists_ne`; * rename `linear_map.coe_inj` to `coe_injective` and `continuous_linear_map.coe_inj` to `coe_fn_injective`, make them use `function.injective`. Motivated by #4407
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* `linear_map.unique_of_left`, `linear_map.unique_of_right`, `continuous_linear_map.unique_of_left`, `continuous_linear_map.unique_of_right`: if either `M` or `M₂` is a `subsingleton`, then both `M →ₗ[R] M₂` and `M →L[R] M₂` are `unique`; * `pi.unique`: if each `β a` is `unique`, then `Π a, β a` is `unique`; * rename `function.injective.comap_subsingleton` to `function.injective.subsingleton`; * add `unique.mk'` and `function.injective.unique`; * add a few `simp` lemmas for `default`; * drop `nonempty_unique_or_exists_ne` and `subsingleton_or_exists_ne`; * rename `linear_map.coe_inj` to `coe_injective` and `continuous_linear_map.coe_inj` to `coe_fn_injective`, make them use `function.injective`. Motivated by #4407
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* `linear_map.unique_of_left`, `linear_map.unique_of_right`, `continuous_linear_map.unique_of_left`, `continuous_linear_map.unique_of_right`: if either `M` or `M₂` is a `subsingleton`, then both `M →ₗ[R] M₂` and `M →L[R] M₂` are `unique`; * `pi.unique`: if each `β a` is `unique`, then `Π a, β a` is `unique`; * rename `function.injective.comap_subsingleton` to `function.injective.subsingleton`; * add `unique.mk'` and `function.injective.unique`; * add a few `simp` lemmas for `default`; * drop `nonempty_unique_or_exists_ne` and `subsingleton_or_exists_ne`; * rename `linear_map.coe_inj` to `coe_injective` and `continuous_linear_map.coe_inj` to `coe_fn_injective`, make them use `function.injective`. Motivated by #4407
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unique instancesunique instances
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linear_map.unique_of_left,linear_map.unique_of_right,continuous_linear_map.unique_of_left,continuous_linear_map.unique_of_right: if eitherMorM₂is asubsingleton, then bothM →ₗ[R] M₂andM →L[R] M₂areunique;pi.unique: if eachβ aisunique, thenΠ a, β aisunique;function.injective.comap_subsingletontofunction.injective.subsingleton;unique.mk'andfunction.injective.unique;simplemmas fordefault;nonempty_unique_or_exists_neandsubsingleton_or_exists_ne;linear_map.coe_injtocoe_injectiveandcontinuous_linear_map.coe_injtocoe_fn_injective,make them use
function.injective.Motivated by #4407