Theorems · Theorem · functional analysis
RCLike.ofNat_mul_im
∀ {K : Type u_1} [inst : RCLike K] (n : ℕ) [inst_1 : n.AtLeastTwo] (z : K),
RCLike.im (OfNat.ofNat n * z) = OfNat.ofNat n * RCLike.im z- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLikeNat.AtLeastTwo
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- Nat.AtLeastTwostatement and proof · cited by 405
- AddMonoid.toZerostatement · cited by 325
- RCLike.imstatement and proof · cited by 161
- RCLike.im_ofReal_mulproof · cited by 5
- RCLike.ofReal_ofNatproof · cited by 4
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