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Theorems · Theorem · group theory

Subsemigroup.mem_comap

∀ {M : Type u_1} {N : Type u_2} [inst : Mul M] [inst_1 : Mul N] {S : Subsemigroup N} {f : M →ₙ* N} {x : M},
  x ∈ Subsemigroup.comap f S ↔ f x ∈ S
Defined in
Mathlib.Algebra.Group.Subsemigroup.Operations
Cited by
1 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
MulMul
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MulHom.mclosure_preimage_le · cited by 0MulHom.mclosure_preimage_…DFunLike.coe · cited by 62936DFunLike.coeSubsemigroup · cited by 323SubsemigroupMulHom · cited by 299MulHomSubsemigroup.comap · cited by 39Subsemigroup.comapSubsemigroup.mem_comapCITED BYCITES

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Cited by1

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