1cf71e54cf
`Nat.succ_eq_add_one` and `Nat.pred_eq_sub_one` are now simp lemmas. For theorems about `Nat.succ` or `Nat.pred` without corresponding theorem for `+ 1` or `- 1`, this adds the corresponding theorem.
66 lines
3.8 KiB
Text
66 lines
3.8 KiB
Text
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{"value": "```lean\nFoo.f₁ (self : Foo) : Nat\n```", "kind": "markdown"}}
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"```lean\nNat.succ (n : Nat) : Nat\n```\n***\nThe successor function on natural numbers, `succ n = n + 1`.\nThis is one of the two constructors of `Nat`. Using `succ n` should usually\nbe avoided in favor of `n + 1`, in order to remain compatible with the simp\nnormal form defined by `Nat.succ_eq_add_one`. \n***\n*import Init.Prelude*",
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"```lean\nNat.succ (n : Nat) : Nat\n```\n***\nThe successor function on natural numbers, `succ n = n + 1`.\nThis is one of the two constructors of `Nat`. Using `succ n` should usually\nbe avoided in favor of `n + 1`, in order to remain compatible with the simp\nnormal form defined by `Nat.succ_eq_add_one`. \n***\n*import Init.Prelude*",
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"```lean\nNat.succ (n : Nat) : Nat\n```\n***\nThe successor function on natural numbers, `succ n = n + 1`.\nThis is one of the two constructors of `Nat`. Using `succ n` should usually\nbe avoided in favor of `n + 1`, in order to remain compatible with the simp\nnormal form defined by `Nat.succ_eq_add_one`. \n***\n*import Init.Prelude*",
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"contents":
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{"value": "```lean\nFoo.f₂ (f : Foo) : Nat\n```", "kind": "markdown"}}
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"contents":
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{"value":
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"```lean\nNat.succ (n : Nat) : Nat\n```\n***\nThe successor function on natural numbers, `succ n = n + 1`.\nThis is one of the two constructors of `Nat`. Using `succ n` should usually\nbe avoided in favor of `n + 1`, in order to remain compatible with the simp\nnormal form defined by `Nat.succ_eq_add_one`. \n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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