Theorems · Theorem · group theory

Set.powersetCard.addActionHom_of_embedding_surjective

∀ (G : Type u_1) [inst : AddGroup G] (α : Type u_2) [inst_1 : AddAction G α] {n : ℕ} [inst_2 : DecidableEq α],
  Function.Surjective ⇑(Set.powersetCard.addActionHom_of_embedding G α n)

Defined in: Mathlib.GroupTheory.GroupAction.SubMulAction.Combination
Cited by: 1 results in Mathlib
Foundations: Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup AddAction DecidableEq

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

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Finset.univproof · cited by 3,473
Fintype.cardproof · cited by 1,386
Function.Embeddingstatement and proof · cited by 988
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Finset.mapproof · cited by 747
Fintype.card_finproof · cited by 270
Set.powersetCardstatement and proof · cited by 100
AddActionHomstatement · cited by 82

Cited by1

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Set.powersetCard.isPretransitive_of_isMultiplyPretransitive'proof · cited by 0