Theorems · Theorem · commutative algebra
Nat.smul_one_eq_cast
∀ {R : Type u_5} [inst : NonAssocSemiring R] (m : ℕ), m • 1 = ↑m- Defined in
- Mathlib.Algebra.Module.NatInt
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- NonAssocSemiring
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.
- mul_oneproof · cited by 3,885
- NonAssocSemiringstatement and proof · cited by 805
- nsmul_eq_mulproof · cited by 369
Cited by13
Results whose statement or proof uses this declaration.
- Finset.cast_cardproof · cited by 5
- Polynomial.eval_one_cyclotomic_prime_powproof · cited by 4
- Asymptotics.isLittleO_sum_range_of_tendsto_zeroproof · cited by 3
- Polynomial.eval_one_cyclotomic_primeproof · cited by 2
- AddChar.sum_mulShiftproof · cited by 2
- CharP.addOrderOf_oneproof · cited by 1
- cyclotomic_prime_pow_comp_X_add_one_isEisensteinAtproof · cited by 1
- NNReal.rpow_sum_le_const_mul_sum_rpowproof · cited by 1
- Polynomial.isUnitTrinomial_iff'proof · cited by 1
- Finpartition.energy_le_oneproof · cited by 1
- ZMod.addOrderOf_coeproof · cited by 1
- ENNReal.rpow_sum_le_const_mul_sum_rpowproof · cited by 0