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Bump Lean version to v4.13.0 and add test cases
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-- This module serves as the root of the `«Andrés»` library. | ||
-- Import modules here that should be built as part of the library. | ||
import «Andrés».Basic |
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import Mathlib | ||
import Egg | ||
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-- cast_smul_eq_nnqsmul | ||
namespace NNRat | ||
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variable (R S : Type*) [DivisionSemiring R] [CharZero R] [Semiring S] [Module ℚ≥0 S] | ||
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example [Module R S] (q : ℚ≥0) (a : S) : (q : R) • a = q • a := by | ||
refine MulAction.injective₀ (G₀ := ℚ≥0) (Nat.cast_ne_zero.2 q.den_pos.ne') ?_ | ||
egg [ | ||
mul_smul, den_mul_eq_num, Nat.cast_smul_eq_nsmul, Nat.cast_smul_eq_nsmul, smul_assoc, | ||
nsmul_eq_mul q.den (α := R), cast_natCast, cast_mul, den_mul_eq_num, cast_natCast, | ||
Nat.cast_smul_eq_nsmul | ||
] | ||
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-- TODO: This saturates in slotted? I'm guessing there's something wrong with the saturation | ||
-- condition/progress measure. | ||
set_option egg.slotted true in | ||
example [Module R S] (q : ℚ≥0) (a : S) : (q : R) • a = q • a := by | ||
refine MulAction.injective₀ (G₀ := ℚ≥0) (Nat.cast_ne_zero.2 q.den_pos.ne') ?_ | ||
egg [ | ||
mul_smul, den_mul_eq_num, Nat.cast_smul_eq_nsmul, Nat.cast_smul_eq_nsmul, smul_assoc, | ||
nsmul_eq_mul q.den (α := R), cast_natCast, cast_mul, den_mul_eq_num, cast_natCast, | ||
Nat.cast_smul_eq_nsmul | ||
] | ||
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end NNRat | ||
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-- mem_sInf | ||
namespace Order.Ideal | ||
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open Function Set | ||
variable {P : Type*} [SemilatticeSup P] [OrderBot P] {x : P} {S : Set (Ideal P)} | ||
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example : x ∈ sInf S ↔ ∀ s ∈ S, x ∈ s := by | ||
egg [SetLike.mem_coe, coe_sInf, mem_iInter₂] | ||
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set_option egg.slotted true in | ||
example : x ∈ sInf S ↔ ∀ s ∈ S, x ∈ s := by | ||
egg [SetLike.mem_coe, coe_sInf, mem_iInter₂] | ||
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end Order.Ideal | ||
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-- not_modEq_iff_ne_add_zsmul | ||
namespace AddCommGroup | ||
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variable {α : Type*} [AddCommGroup α] {p a a₁ a₂ b b₁ b₂ c : α} {n : ℕ} {z : ℤ} | ||
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example : ¬a ≡ b [PMOD p] ↔ ∀ z : ℤ, b ≠ a + z • p := by | ||
egg [modEq_iff_eq_add_zsmul, not_exists] | ||
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set_option egg.slotted true in | ||
example : ¬a ≡ b [PMOD p] ↔ ∀ z : ℤ, b ≠ a + z • p := by | ||
egg [modEq_iff_eq_add_zsmul, not_exists] | ||
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end AddCommGroup | ||
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-- trans_eq_none | ||
namespace PEquiv | ||
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open Mathlib.Tactic.PushNeg | ||
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example (f : α ≃. β) (g : β ≃. γ) (a : α) : f.trans g a = none ↔ ∀ b c, b ∉ f a ∨ c ∉ g b := by | ||
egg [ | ||
Option.eq_none_iff_forall_not_mem, mem_trans, imp_iff_not_or.symm, forall_swap, not_exists_eq, | ||
not_and_eq | ||
] | ||
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set_option egg.slotted true in | ||
example (f : α ≃. β) (g : β ≃. γ) (a : α) : f.trans g a = none ↔ ∀ b c, b ∉ f a ∨ c ∉ g b := by | ||
egg [ | ||
Option.eq_none_iff_forall_not_mem, mem_trans, imp_iff_not_or.symm, forall_swap, not_exists_eq, | ||
not_and_eq | ||
] | ||
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end PEquiv |
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{"version": "1.1.0", | ||
"packagesDir": ".lake/packages", | ||
"packages": | ||
[{"url": "https://github.com/leanprover-community/batteries", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "leanprover-community", | ||
"rev": "31a10a332858d6981dbcf55d54ee51680dd75f18", | ||
"name": "batteries", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "main", | ||
"inherited": true, | ||
"configFile": "lakefile.toml"}, | ||
{"url": "https://github.com/leanprover-community/quote4", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "leanprover-community", | ||
"rev": "1357f4f49450abb9dfd4783e38219f4ce84f9785", | ||
"name": "Qq", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "master", | ||
"inherited": true, | ||
"configFile": "lakefile.lean"}, | ||
{"url": "https://github.com/leanprover-community/aesop", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "leanprover-community", | ||
"rev": "5f934891e11d70a1b86e302fdf9cecfc21e8de46", | ||
"name": "aesop", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "master", | ||
"inherited": true, | ||
"configFile": "lakefile.toml"}, | ||
{"url": "https://github.com/leanprover-community/ProofWidgets4", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "leanprover-community", | ||
"rev": "baa65c6339a56bd22b7292aa4511c54b3cc7a6af", | ||
"name": "proofwidgets", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "v0.0.43", | ||
"inherited": true, | ||
"configFile": "lakefile.lean"}, | ||
{"url": "https://github.com/leanprover/lean4-cli", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "leanprover", | ||
"rev": "2cf1030dc2ae6b3632c84a09350b675ef3e347d0", | ||
"name": "Cli", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "main", | ||
"inherited": true, | ||
"configFile": "lakefile.toml"}, | ||
{"url": "https://github.com/leanprover-community/import-graph", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "leanprover-community", | ||
"rev": "984d7ee170b75d6b03c0903e0b750ee2c6d1e3fb", | ||
"name": "importGraph", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "main", | ||
"inherited": true, | ||
"configFile": "lakefile.toml"}, | ||
{"url": "https://github.com/leanprover-community/LeanSearchClient", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "leanprover-community", | ||
"rev": "7bedaed1ef024add1e171cc17706b012a9a37802", | ||
"name": "LeanSearchClient", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "main", | ||
"inherited": true, | ||
"configFile": "lakefile.toml"}, | ||
{"url": "https://github.com/leanprover-community/mathlib4", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "leanprover-community", | ||
"rev": "d5ab93e3a3afadaf265a583a92f7e7c47203b540", | ||
"name": "mathlib", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "v4.13.0", | ||
"inherited": false, | ||
"configFile": "lakefile.lean"}, | ||
{"url": "https://github.com/nomeata/lean-calcify", | ||
"type": "git", | ||
"subDir": null, | ||
"scope": "nomeata", | ||
"rev": "dbc14d28fad2b090158ad60e490da9067b4519be", | ||
"name": "calcify", | ||
"manifestFile": "lake-manifest.json", | ||
"inputRev": "master", | ||
"inherited": true, | ||
"configFile": "lakefile.toml"}, | ||
{"type": "path", | ||
"scope": "", | ||
"name": "egg", | ||
"manifestFile": "lake-manifest.json", | ||
"inherited": false, | ||
"dir": "./../../../..", | ||
"configFile": "lakefile.lean"}], | ||
"name": "«Andrés»", | ||
"lakeDir": ".lake"} |
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name = "Andrés" | ||
version = "0.1.0" | ||
keywords = ["math"] | ||
defaultTargets = ["«Andrés»"] | ||
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[[require]] | ||
name = "mathlib" | ||
scope = "leanprover-community" | ||
version = "git#v4.13.0" | ||
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[[require]] | ||
name = "egg" | ||
path = "../../../.." | ||
|
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[[lean_lib]] | ||
name = "«Andrés»" |
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leanprover/lean4:v4.13.0 |
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leanprover/lean4:v4.13.0-rc3 | ||
leanprover/lean4:v4.13.0 |