Theorems · Theorem · group theory
smul_eq_mul
∀ {α : Type u_9} [inst : Mul α] (a b : α), a • b = a * b- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 357 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 14 definitions · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by357
Results whose statement or proof uses this declaration.
- LinearMap.ext_ringproof · cited by 152
- Ideal.IsMaximal.isPrimeproof · cited by 53
- ProbabilityTheory.cond_applyproof · cited by 20
- MeromorphicAt.smulproof · cited by 13
- Polynomial.C_mul'proof · cited by 12
- MeasureTheory.laverage_eqproof · cited by 12
- Matrix.toLinearMap₂'_apply'proof · cited by 10
- RootPairing.InvariantForm.two_mul_apply_root_rootproof · cited by 10
- Matrix.mul_adjugateproof · cited by 10
- PowerSeries.IsWeierstrassDivisorAt.isWeierstrassDivisionAt_div_modproof · cited by 10
- FractionalIdeal.coeIdeal_span_singletonproof · cited by 10
- MeasureTheory.withDensity_smulproof · cited by 8
Showing the 200 most cited of 357.