[Merged by Bors] - chore(PartENat): golf and improve ofNat support
#8002
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Here are the benchmark results for commit fb7f2f8. Benchmark Metric Change
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+ ~Mathlib.Analysis.NormedSpace.Multilinear instructions -2.5%
+ ~Mathlib.LinearAlgebra.FreeModule.PID instructions -5.6%
+ ~Mathlib.RepresentationTheory.GroupCohomology.Resolution instructions -3.4% |
eric-wieser
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Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
These can be inferred by `[StrictOrderedSemiring R]`.
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bors d+ Pleaes merge once CI passes. Thanks, and sorry for letting this sit for a little. |
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Here are the benchmark results for commit 385cee0. Benchmark Metric Change
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+ ~Mathlib.LinearAlgebra.FreeModule.PID instructions -9.5%
- ~Mathlib.RepresentationTheory.GroupCohomology.Resolution instructions 1.9% |
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This PR adds simp lemmas for `OfNat.ofNat n : PartENat`, `0 : PartENat`, and `1 : PartENat` in every place where there was a simp lemma for `((n : ℕ) : PartENat)`. This is necessary for simp confluence in the presence of lemmas such as `Nat.cast_ofNat`. In addition, instances for `CharZero` and `ZeroLEOneClass` are provided so that the lemmas from `Data/Nat/Cast/Order.lean` will apply, golfing some proofs. Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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ofNat supportofNat support
grunweg
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This PR adds simp lemmas for `OfNat.ofNat n : PartENat`, `0 : PartENat`, and `1 : PartENat` in every place where there was a simp lemma for `((n : ℕ) : PartENat)`. This is necessary for simp confluence in the presence of lemmas such as `Nat.cast_ofNat`. In addition, instances for `CharZero` and `ZeroLEOneClass` are provided so that the lemmas from `Data/Nat/Cast/Order.lean` will apply, golfing some proofs. Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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…sts (#8006) I loogled for every occurrence of `"cast", Nat` and `"natCast"` and where the casted nat was `n`, and made sure there were corresponding `@[simp]` lemmas for `0`, `1`, and `OfNat.ofNat n`. This is necessary in general for simp confluence. Example: ```lean import Mathlib variable {α : Type*} [LinearOrderedRing α] (m n : ℕ) [m.AtLeastTwo] [n.AtLeastTwo] example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by simp only [Nat.cast_le] -- this `@[simp]` lemma can apply example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) := by simp only [Nat.cast_ofNat] -- and so can this one example : (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by simp -- fails! `simp` doesn't have a lemma to bridge their results. confluence issue. ``` As far as I know, the only file this PR leaves with `ofNat` gaps is `PartENat.lean`. #8002 is addressing that file in parallel. Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
riccardobrasca
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…sts (#8006) I loogled for every occurrence of `"cast", Nat` and `"natCast"` and where the casted nat was `n`, and made sure there were corresponding `@[simp]` lemmas for `0`, `1`, and `OfNat.ofNat n`. This is necessary in general for simp confluence. Example: ```lean import Mathlib variable {α : Type*} [LinearOrderedRing α] (m n : ℕ) [m.AtLeastTwo] [n.AtLeastTwo] example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by simp only [Nat.cast_le] -- this `@[simp]` lemma can apply example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) := by simp only [Nat.cast_ofNat] -- and so can this one example : (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by simp -- fails! `simp` doesn't have a lemma to bridge their results. confluence issue. ``` As far as I know, the only file this PR leaves with `ofNat` gaps is `PartENat.lean`. #8002 is addressing that file in parallel. Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
dagurtomas
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Mar 22, 2024
…sts (#8006) I loogled for every occurrence of `"cast", Nat` and `"natCast"` and where the casted nat was `n`, and made sure there were corresponding `@[simp]` lemmas for `0`, `1`, and `OfNat.ofNat n`. This is necessary in general for simp confluence. Example: ```lean import Mathlib variable {α : Type*} [LinearOrderedRing α] (m n : ℕ) [m.AtLeastTwo] [n.AtLeastTwo] example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by simp only [Nat.cast_le] -- this `@[simp]` lemma can apply example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) := by simp only [Nat.cast_ofNat] -- and so can this one example : (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by simp -- fails! `simp` doesn't have a lemma to bridge their results. confluence issue. ``` As far as I know, the only file this PR leaves with `ofNat` gaps is `PartENat.lean`. #8002 is addressing that file in parallel. Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Louddy
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Apr 15, 2024
…sts (#8006) I loogled for every occurrence of `"cast", Nat` and `"natCast"` and where the casted nat was `n`, and made sure there were corresponding `@[simp]` lemmas for `0`, `1`, and `OfNat.ofNat n`. This is necessary in general for simp confluence. Example: ```lean import Mathlib variable {α : Type*} [LinearOrderedRing α] (m n : ℕ) [m.AtLeastTwo] [n.AtLeastTwo] example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by simp only [Nat.cast_le] -- this `@[simp]` lemma can apply example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) := by simp only [Nat.cast_ofNat] -- and so can this one example : (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by simp -- fails! `simp` doesn't have a lemma to bridge their results. confluence issue. ``` As far as I know, the only file this PR leaves with `ofNat` gaps is `PartENat.lean`. #8002 is addressing that file in parallel. Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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This PR adds simp lemmas for
OfNat.ofNat n : PartENat,0 : PartENat, and1 : PartENatin every place where there was a simp lemma for((n : ℕ) : PartENat). This is necessary for simp confluence in the presence of lemmas such asNat.cast_ofNat. In addition, instances forCharZeroandZeroLEOneClassare provided so that the lemmas fromData/Nat/Cast/Order.leanwill apply, golfing some proofs.[Nontrivial R]#8129