Theorems · Theorem · group theory
MulAction.IsMultiplyPreprimitive.of_bijective_map
∀ {M : Type u_1} {α : Type u_2} [inst : Group M] [inst_1 : MulAction M α] {N : Type u_3} {β : Type u_4}
[inst_2 : Group N] [inst_3 : MulAction N β] {φ : M → N} {f : α →ₑ[φ] β},
Function.Bijective ⇑f → ∀ {n : ℕ}, MulAction.IsMultiplyPreprimitive M α n → MulAction.IsMultiplyPreprimitive N β n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Setproof · cited by 53,352
- Set.Elemproof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Set.imageproof · cited by 5,609
- ENatproof · cited by 4,985
- Set.preimageproof · cited by 4,946
- MulActionstatement and proof · cited by 1,294
- Function.Bijectivestatement and proof · cited by 863
- Set.encardproof · cited by 327
- Set.mem_preimageproof · cited by 190
- Set.mem_imageproof · cited by 131
Cited by1
Results whose statement or proof uses this declaration.
- MulAction.isMultiplyPreprimitive_congrproof · cited by 0