Theorems · Theorem · number theory
Int.cast_pow
∀ {R : Type u_1} [inst : Ring R] (n : ℤ) (m : ℕ), ↑(n ^ m) = ↑n ^ m- Defined in
- Mathlib.Algebra.Ring.Int.Defs
- Cited by
- 59 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- pow_zeroproof · cited by 1,094
- pow_succproof · cited by 374
- Int.cast_oneproof · cited by 371
- Int.cast_mulproof · cited by 113
Cited by59
Results whose statement or proof uses this declaration.
- Int.coe_negOnePowproof · cited by 24
- map_wittStructureIntproof · cited by 13
- Rat.cast_powproof · cited by 7
- Matrix.det_succ_rowproof · cited by 6
- fwdDiff_iter_eq_sum_shiftproof · cited by 5
- Pell.exists_of_not_isSquareproof · cited by 3
- IsPrimitiveRoot.norm_toInteger_pow_sub_one_of_prime_pow_ne_twoproof · cited by 3
- Int.ModEq.pow_card_sub_one_eq_oneproof · cited by 3
- Polynomial.Chebyshev.iterate_derivative_U_eval_oneproof · cited by 3
- Polynomial.bernoulli_comp_neg_Xproof · cited by 2
- Nat.sq_add_sq_zmodEqproof · cited by 2