Theorems · Theorem · group theory
SemidirectProduct.ext_iff
∀ {N : Type u_1} {G : Type u_2} {inst : Group N} {inst_1 : Group G} {φ : G →* MulAut N} {x y : N ⋊[φ] G},
x = y ↔ x.left = y.left ∧ x.right = y.right- Defined in
- Mathlib.GroupTheory.SemidirectProduct
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- Foundations
- Depth 29 from the axioms · uses Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- MulAutstatement and proof · cited by 158
- SemidirectProductstatement and proof · cited by 69
- SemidirectProduct.rightstatement and proof · cited by 35
- SemidirectProduct.leftstatement and proof · cited by 30
- SemidirectProduct.extproof · cited by 7
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