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Theorems · Theorem

Function.injective_of_subsingleton

∀ {α : Sort u_1} {β : Sort u_2} [Subsingleton α] (f : α → β), Function.Injective f
Defined in
Mathlib.Logic.Function.Basic
Cited by
17 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
Subsingleton
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Around this declaration

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linearIndependent_empty_type · cited by 9linearIndependent_empty_t…SimplexCategory.Truncated.morphismProperty_eq_top · cited by 2Truncated.morphismPropert…AlgebraicIndependent.transcendental · cited by 2AlgebraicIndependent.tran…FreeAddGroup.map_injective · cited by 1FreeAddGroup.map_injectiveList.nodup_ofFn · cited by 1List.nodup_ofFnSet.injOn_of_subsingleton · cited by 1Set.injOn_of_subsingletonSubmodule.LinearDisjoint.of_subsingleton · cited by 1LinearDisjoint.of_subsing…Submodule.LinearDisjoint.of_subsingleton_top · cited by 1LinearDisjoint.of_subsing…OrzechProperty.bijective_of_surjective_of_finrank_le · cited by 1OrzechProperty.bijective_…Topology.IsEmbedding.of_subsingleton · cited by 1IsEmbedding.of_subsinglet…FreeGroup.map_injective · cited by 1FreeGroup.map_injectiveModule.DirectLimit.lift_injective · cited by 1DirectLimit.lift_injectiveArchimedean.exists_orderAddMonoidHom_real_injective · cited by 1Archimedean.exists_orderA…Submodule.LinearDisjoint.bot_left · cited by 0LinearDisjoint.bot_leftSubmodule.LinearDisjoint.bot_right · cited by 0LinearDisjoint.bot_rightFunction.injective_of_subsing…CITED BYCITES

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Cited by17

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