Theorems · Theorem · group theory
QuotientAddGroup.mk_int_mul
∀ {R : Type u_1} [inst : NonAssocRing R] (N : AddSubgroup R) [inst_1 : N.Normal] (n : ℤ) (a : R), ↑(↑n * a) = n • ↑a- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSubgroupstatement and proof · cited by 3,232
- HasQuotient.Quotientstatement and proof · cited by 2,301
- NonAssocRingstatement and proof · cited by 483
- QuotientAddGroup.mkstatement and proof · cited by 348
- AddSubgroup.Normalstatement and proof · cited by 183
- zsmul_eq_mulproof · cited by 120
- QuotientAddGroup.mk_zsmulproof · cited by 4
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