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Theorems · Theorem

Function.RightInverse.injective

∀ {α : Sort u_1} {β : Sort u_2} {f : α → β} {g : β → α}, Function.RightInverse f g → Function.Injective f
Defined in
Mathlib.Logic.Function.Basic
Cited by
20 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.injective_surjInv · cited by 14Function.injective_surjInvSimpleGraph.Walk.ext_support · cited by 14Walk.ext_supportDirectSum.Decomposition.isInternal · cited by 6Decomposition.isInternalModule.Flat.of_retract · cited by 4Flat.of_retractLinearMap.injective_iff_surjective · cited by 3LinearMap.injective_iff_s…ProbabilityTheory.Kernel.iIndepSets.of_precomp · cited by 3iIndepSets.of_precompAlgebra.TensorProduct.mk_one_injective_of_isScalarTower · cited by 1TensorProduct.mk_one_inje…Function.Bijective.addActionHom_embedding_isBijective · cited by 1Bijective.addActionHom_em…Function.Bijective.mulActionHom_embedding_isBijective · cited by 1Bijective.mulActionHom_em…exteriorPower.map_injective · cited by 1exteriorPower.map_injecti…Bialgebra.algebraMap_injective · cited by 1Bialgebra.algebraMap_inje…QuadraticForm.comp_tensorRId_eq · cited by 1QuadraticForm.comp_tensor…QuadraticForm.tmul_comp_tensorAssoc · cited by 1QuadraticForm.tmul_comp_t…QuadraticForm.tmul_comp_tensorComm · cited by 1QuadraticForm.tmul_comp_t…QuadraticForm.tmul_comp_tensorMap · cited by 1QuadraticForm.tmul_comp_t…Function.RightInverse.leftInverse · cited by 3RightInverse.leftInverseRightInverse.injectiveCITED BYCITES

Cites1

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Cited by20

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