7fa1a8b114
This PR eliminates uses of `intros x y z` (with arguments) and updates the `intros` docstring to suggest that `intro x y z` should be used instead. The `intros` tactic is historical, and can be traced all the way back to Lean 2, when `intro` could only introduce a single hypothesis. Since 2020, the `intro` tactic has superceded it. The `intros` tactic (without arguments) is currently still useful.
71 lines
1.2 KiB
Text
71 lines
1.2 KiB
Text
inductive States | s0 | s1 | s2 | s3 | s4 | s5 | s6 | s7
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open States
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def f : States → States → States
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| s0, s0 => s0
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| s0, s1 => s0
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| s0, s2 => s0
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| s0, s3 => s0
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| s0, s4 => s0
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| s0, s5 => s0
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| s0, s6 => s0
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| s0, s7 => s0
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| s1, s0 => s0
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| s1, s1 => s0
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| s1, s2 => s0
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| s1, s3 => s0
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| s1, s4 => s0
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| s1, s5 => s0
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| s1, s6 => s0
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| s1, s7 => s0
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| s2, s0 => s0
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| s2, s1 => s0
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| s2, s2 => s0
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| s2, s3 => s0
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| s2, s4 => s0
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| s2, s5 => s0
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| s2, s6 => s0
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| s2, s7 => s0
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| s3, s0 => s0
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| s3, s1 => s0
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| s3, s2 => s0
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| s3, s3 => s0
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| s3, s4 => s0
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| s3, s5 => s0
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| s3, s6 => s0
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| s3, s7 => s0
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| s4, s0 => s0
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| s4, s1 => s0
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| s4, s2 => s0
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| s4, s3 => s0
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| s4, s4 => s0
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| s4, s5 => s0
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| s4, s6 => s0
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| s4, s7 => s0
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| s5, s0 => s0
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| s5, s1 => s0
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| s5, s2 => s0
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| s5, s3 => s0
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| s5, s4 => s0
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| s5, s5 => s0
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| s5, s6 => s0
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| s5, s7 => s0
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| s6, s0 => s0
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| s6, s1 => s0
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| s6, s2 => s0
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| s6, s3 => s0
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| s6, s4 => s0
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| s6, s5 => s0
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| s6, s6 => s0
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| s6, s7 => s0
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| s7, s0 => s0
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| s7, s1 => s0
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| s7, s2 => s0
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| s7, s3 => s0
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| s7, s4 => s0
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| s7, s5 => s0
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| s7, s6 => s0
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| s7, s7 => s0
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set_option maxHeartbeats 0
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example : ∀ x y z, f (f (f s0 x) y) z = f (f x z) (f y z) := by
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intro x y z
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cases x <;> cases y <;> cases z <;> rfl
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