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[Merged by Bors] - feat: missing nnratCast lemmas for RCLike #39620

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[Merged by Bors] - feat: missing nnratCast lemmas for RCLike #39620

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feat: missing nnratCast lemmas for RCLike
eric-wieser May 20, 2026
150dde1
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eric-wieser May 20, 2026
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13 changes: 10 additions & 3 deletions Mathlib/Analysis/RCLike/Basic.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -577,9 +577,6 @@ instance : StarModule ℝ K where
theorem ofReal_natCast (n : ℕ) : ((n : ℝ) : K) = n :=
map_natCast (algebraMap ℝ K) n

@[rclike_simps, norm_cast]
lemma ofReal_nnratCast (q : ℚ≥0) : ((q : ℝ) : K) = q := map_nnratCast (algebraMap ℝ K) _

@[simp, rclike_simps]
theorem natCast_re (n : ℕ) : re (n : K) = n := by rw [← ofReal_natCast, ofReal_re]

Expand Down Expand Up @@ -614,6 +611,16 @@ theorem intCast_re (n : ℤ) : re (n : K) = n := by rw [← ofReal_intCast, ofRe
@[simp, rclike_simps, norm_cast]
theorem intCast_im (n : ℤ) : im (n : K) = 0 := by rw [← ofReal_intCast, ofReal_im]

@[rclike_simps, norm_cast]
theorem ofReal_nnratCast (n : ℚ≥0) : ((n : ℝ) : K) = n :=
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map_nnratCast _ n

@[simp, rclike_simps]
theorem nnratCast_re (q : ℚ≥0) : re (q : K) = q := by rw [← ofReal_nnratCast, ofReal_re]

@[simp, rclike_simps, norm_cast]
theorem nnratCast_im (q : ℚ≥0) : im (q : K) = 0 := by rw [← ofReal_nnratCast, ofReal_im]

@[rclike_simps, norm_cast]
theorem ofReal_ratCast (n : ℚ) : ((n : ℝ) : K) = n :=
map_ratCast _ n
Expand Down
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