Theorems · Theorem · group theory
Set.singleton_mul_singleton
∀ {α : Type u_2} [inst : Mul α] {a b : α}, {a} * {b} = {a * b}- Cited by
- 7 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.mulstatement · cited by 297
- Set.image2_singletonproof · cited by 10
Cited by7
Results whose statement or proof uses this declaration.
- Ideal.span_singleton_mul_span_singletonproof · cited by 12
- FractionalIdeal.spanSingleton_mul_spanSingletonproof · cited by 11
- DoubleCoset.doubleCoset_eq_of_memproof · cited by 5
- Set.mul_eq_one_iffproof · cited by 2
- PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domainproof · cited by 1
- PrimeSpectrum.exists_primeSpectrum_prod_leproof · cited by 0
- Set.isUnit_iffproof · cited by 0