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Theorems · Theorem

EquivLike.surjective

∀ {E : Sort u_1} {α : Sort u_3} {β : Sort u_4} [inst : EquivLike E α β] (e : E), Function.Surjective ⇑e
Defined in
Mathlib.Data.FunLike.Equiv
Cited by
24 results in Mathlib
Foundations
Depth 9 from the axioms · uses Quot.sound
Assumes
EquivLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Equiv.surjective · cited by 198Equiv.surjectiveAlgEquiv.surjective · cited by 48AlgEquiv.surjectiveMulEquiv.surjective · cited by 41MulEquiv.surjectiveAddEquiv.surjective · cited by 37AddEquiv.surjectiveRingEquiv.surjective · cited by 28RingEquiv.surjectiveEquivLike.bijective · cited by 15EquivLike.bijectiveEquivLike.range_comp · cited by 15EquivLike.range_compdualTensorHom_bijective · cited by 6dualTensorHom_bijectiveMulEquiv.irreducible_iff · cited by 3MulEquiv.irreducible_iffisAlgebraic_ringHom_iff_of_comp_eq · cited by 3isAlgebraic_ringHom_iff_o…Ideal.map_comap_eq_self_of_equiv · cited by 2Ideal.map_comap_eq_self_o…DilationEquiv.map_cobounded · cited by 2DilationEquiv.map_cobound…EquivLike.surjective_comp · cited by 2EquivLike.surjective_compAlgebra.isAlgebraic_ringHom_iff_of_comp_eq · cited by 1Algebra.isAlgebraic_ringH…Subgroup.map_equiv_top · cited by 1Subgroup.map_equiv_topDFunLike.coe · cited by 62936DFunLike.coeEquivLike · cited by 165EquivLikeEquivLike.right_inv · cited by 8EquivLike.right_invEquivLike.surjectiveCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by24

Results whose statement or proof uses this declaration.