bump mathlib
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@@ -72,7 +72,7 @@ def compileProof (inputCtx : Parser.InputContext) (snap : Snapshot) (hasWidgets
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let (tacticStx, cmdParserState, msgLog, endOfWhitespace) :=
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MyModule.parseTactic inputCtx pmctx snap.mpState snap.msgLog couldBeEndSnap
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let cmdPos := tacticStx.getPos?.getD 0
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if Parser.isEOI tacticStx then
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if Parser.isTerminalCommand tacticStx then
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let endSnap : Snapshot := {
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beginPos := cmdPos
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stx := tacticStx
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@@ -1 +1 @@
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{"version": 4, "packagesDir": "./lake-packages", "packages": []}
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{"version": 4, "packagesDir": "lake-packages", "packages": []}
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@@ -1 +1 @@
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leanprover/lean4:nightly-2023-01-16
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leanprover/lean4:nightly-2023-01-29
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@@ -36,6 +36,8 @@ lemma sum_const_add (n : ℕ) : (∑ i in Fin n, 0) = 0 := by
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Mit `simp?` anstatt `simp` kannst du zudem schauen, welche Lemmas von `simp` benutzt wurde.
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"
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open BigOperators
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Statement
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"Zeige dass $\\sum_{i = 0} ^ {n-1} (0 + 0) = 0$."
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(n : ℕ) : (∑ i : Fin n, (0 + 0)) = 0 := by
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@@ -25,6 +25,8 @@ vom Typ `Fin n`, das heisst, man muss diesen eigentlich immer mit `(i : ℕ)`
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als natürliche Zahl verwenden.
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"
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open BigOperators
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Statement
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"Zeige dass $\\sum_{i=0}^{n-1} (i + 1) = n + \\sum_{i=0}^{n-1} i$."
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(n : ℕ) : ∑ i : Fin n, ((i : ℕ) + 1) = n + (∑ i : Fin n, (i : ℕ)) := by
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@@ -29,6 +29,8 @@ Für den Induktionsschritt braucht man fast immer zwei technische Lemmas:
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-- Note: I don't want to deal with Nat-division, so I stated it as `2 * ... = ...` instead.
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open BigOperators
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Statement
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"Zeige $\\sum_{i = 0}^n i = \\frac{n \\cdot (n + 1)}{2}$."
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(n : ℕ) : 2 * (∑ i : Fin (n + 1), ↑i) = n * (n + 1) := by
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@@ -15,6 +15,8 @@ Introduction
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Hier nochmals eine Übung zur Induktion.
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"
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open BigOperators
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Statement
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"Zeige folgende Gleichung zur Summe aller ungeraden Zahlen:
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@@ -16,6 +16,7 @@ TODO: Induktion (& induktion vs rcases)
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"
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open BigOperators
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example (x : ℕ) (n : ℕ) : 1 + n * x ≤ (x + 1) ^ n := by
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induction' n with n hn
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@@ -33,10 +34,11 @@ example (n : ℕ) : (∑ i : Fin (n + 1), ↑(2 * i - 1)) = n ^ 2 := by
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Statement
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"Zeige $\\sum_{i = 0}^n i = \\frac{n ⬝ (n + 1)}{2}$."
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(n : ℕ) : (∑ i : Fin (n + 1), ↑i) = n * (n + 1) / 2 := by
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apply hh1
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induction' n with n hn
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simp
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sorry
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-- apply hh1
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-- induction' n with n hn
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-- simp
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-- sorry
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-- rw [Fin.sum_univ_castSucc]
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-- simp [nat_succ]
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-- rw [mul_add, hn]
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@@ -14,6 +14,7 @@ Introduction
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"
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"
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open BigOperators
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Statement
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"Zeige $\\sum_{i = 0}^n i^3 = (\\sum_{i = 0}^n i^3)^2$."
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@@ -1,34 +1,10 @@
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{"version": 4,
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"packagesDir": "./lake-packages",
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"packagesDir": "lake-packages",
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"packages":
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[{"git":
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{"url": "https://github.com/xubaiw/CMark.lean",
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"subDir?": null,
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"rev": "2cc7cdeef67184f84db6731450e4c2b258c28fe8",
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"name": "CMark",
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"inputRev?": "main"}},
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{"git":
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{"url": "https://github.com/leanprover/lake",
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"subDir?": null,
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"rev": "d0b530530f14dde97a547b03abf87eee06360d60",
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"name": "lake",
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"inputRev?": "master"}},
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{"git":
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{"url": "https://github.com/leanprover/doc-gen4",
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"subDir?": null,
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"rev": "09dbebed9ca85368152bb5146ef6f1271b1be425",
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"name": "doc-gen4",
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"inputRev?": "main"}},
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{"git":
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{"url": "https://github.com/mhuisi/lean4-cli",
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"subDir?": null,
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"rev": "5a858c32963b6b19be0d477a30a1f4b6c120be7e",
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"name": "Cli",
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"inputRev?": "nightly"}},
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{"git":
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{"url": "https://github.com/leanprover-community/mathlib4.git",
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"subDir?": null,
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"rev": "98bc5f26ea463d9583f601c84518c95643c0ea14",
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"rev": "774069a73cae9148d941b09c267b465d3f7d7737",
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"name": "mathlib",
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"inputRev?": "master"}},
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{"git":
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@@ -40,31 +16,13 @@
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{"git":
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{"url": "https://github.com/JLimperg/aesop",
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"subDir?": null,
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"rev": "645e92db52499582bb31984396a5e41772241012",
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"rev": "ccff5d4ae7411c5fe741f3139950e8bddf353dea",
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"name": "aesop",
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"inputRev?": "master"}},
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{"git":
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{"url": "https://github.com/hargonix/LeanInk",
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"subDir?": null,
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"rev": "2447df5cc6e48eb965c3c3fba87e46d353b5e9f1",
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"name": "leanInk",
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"inputRev?": "doc-gen"}},
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{"path": {"name": "GameServer", "dir": "./../leanserver"}},
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{"git":
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{"url": "https://github.com/xubaiw/Unicode.lean",
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"subDir?": null,
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"rev": "6dd6ae3a3839c8350a91876b090eda85cf538d1d",
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"name": "Unicode",
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"inputRev?": "main"}},
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{"git":
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{"url": "https://github.com/leanprover/std4",
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"subDir?": null,
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"rev": "04b3c9831e0c141713a70e68af7e40973ec9a1ff",
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"rev": "cda27d551340756d5ed6f9b83716a9db799c5537",
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"name": "std",
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"inputRev?": "main"}},
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{"git":
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{"url": "/home/jeugster/Documents/Lean/duper",
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"subDir?": null,
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"rev": "d0fb397d96483c90969c725ad5ea307cc02bdf7d",
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"name": "duper",
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"inputRev?": "main"}}]}
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@@ -6,12 +6,6 @@ require GameServer from ".."/"leanserver"
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require mathlib from git
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"https://github.com/leanprover-community/mathlib4.git"@"master"
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require duper from git
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"/home/jeugster/Documents/Lean/duper"@"main"
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--set_option tactic.hygienic false
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--set_option autoImplicit false
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package TestGame
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@[default_target]
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@@ -1 +1 @@
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leanprover/lean4:nightly-2023-01-16
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leanprover/lean4:nightly-2023-01-29
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