Theorems · Theorem · group theory
SMulZeroClass.smul_zero
∀ {M : Type u_12} {A : Type u_13} {inst : Zero A} [self : SMulZeroClass M A] (a : M), a • 0 = 0Multiplying 0 by a scalar gives 0
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- SMulZeroClass
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Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SMulZeroClassstatement and proof · cited by 213
Cited by2
Results whose statement or proof uses this declaration.
- smul_zeroproof · cited by 665
- SMulZeroClass.toZeroHomproof · cited by 1