Theorems · Theorem · general topology
AddCircle.natCast_div_mul_eq_nsmul
∀ {𝕜 : Type u_1} [inst : Field 𝕜] (p q r : 𝕜) (m : ℕ), ↑(↑m / q * r) = m • ↑(r / q)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- AddSubgroupstatement · cited by 3,232
- HasQuotient.Quotientstatement and proof · cited by 2,301
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- nsmul_eq_mulproof · cited by 369
- QuotientAddGroup.mkstatement and proof · cited by 348
- mul_comm_divproof · cited by 14
- AddCircle.coe_nsmulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddCircle.gcd_mul_addOrderOf_div_eqproof · cited by 3