AffineSubspace.smul_bot
∀ {M : Type u_1} {k : Type u_2} {V : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
[inst_3 : DistribSMul M V] [inst_4 : SMulCommClass M k V] (a : M), a • ⊥ = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Bot.botstatement and proof · cited by 4,720
- SMulCommClassstatement and proof · cited by 1,927
- AffineSubspacestatement · cited by 871
- DistribSMulstatement and proof · cited by 117
- DistribSMul.toLinearMapproof · cited by 50
- AffineSubspace.extproof · cited by 16
- LinearMap.toAffineMapproof · cited by 16
- AffineSubspace.pointwiseSMulstatement · cited by 9
- AffineSubspace.map_botproof · cited by 7
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