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feat(data/rat/defs): add two lemmas for pnat_denom of 0 and 1 (#15864)
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Co-authored-by: Jon Eugster <eugster.jon@gmail.com>
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Jon Eugster and joneugster committed Aug 27, 2022
1 parent 6901db6 commit ebb53dc
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4 changes: 4 additions & 0 deletions src/data/rat/defs.lean
Expand Up @@ -907,6 +907,10 @@ by rw [pnat_denom, mk_pnat_eq, num_denom]
lemma pnat_denom_eq_iff_denom_eq {x : ℚ} {n : ℕ+} : x.pnat_denom = n ↔ x.denom = ↑n :=
subtype.ext_iff

@[simp] lemma pnat_denom_one : (1 : ℚ).pnat_denom = 1 := rfl

@[simp] lemma pnat_denom_zero : (0 : ℚ).pnat_denom = 1 := rfl

end pnat_denom

end rat

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