Theorems · Theorem · group theory
Subgroup.smul_bot
∀ {α : Type u_1} {G : Type u_2} [inst : Group G] [inst_1 : Monoid α] [inst_2 : MulDistribMulAction α G] (a : α),
a • ⊥ = ⊥- Defined in
- Mathlib.Algebra.Group.Subgroup.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Bot.botstatement · cited by 4,720
- Monoidstatement and proof · cited by 3,887
- Subgroupstatement · cited by 3,593
- MulDistribMulActionstatement and proof · cited by 120
- Subgroup.pointwiseMulActionstatement · cited by 66
- MulDistribMulAction.toMonoidEndproof · cited by 15
- Subgroup.map_botproof · cited by 10
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