08eb78a5b2
This PR sets up the new integrated test/bench suite. It then migrates all benchmarks and some related tests to the new suite. There's also some documentation and some linting. For now, a lot of the old tests are left alone so this PR doesn't become even larger than it already is. Eventually, all tests should be migrated to the new suite though so there isn't a confusing mix of two systems.
81 lines
1.8 KiB
Text
81 lines
1.8 KiB
Text
variable (t1 t2 t3 t4 : Nat)
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variable (pf12 : t1 = t2) (pf23 : t2 = t3) (pf34 : t3 = t4)
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include pf12 pf23 pf34
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theorem foo : t1 = t4 :=
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calc
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t1 = t2 := pf12
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_ = t3 := pf23
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_ = t4 := pf34
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variable (t5 : Nat)
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variable (pf23' : t2 < t3) (pf45' : t4 < t5)
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include pf23' pf45'
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instance [LT α] : Trans (α := α) (· < ·) (· < ·) (· < ·) where
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trans := sorry
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theorem foo₁ : t1 < t5 :=
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let p := calc
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t1 = t2 := pf12
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_ < t3 := pf23'
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_ = t4 := pf34
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_ < t5 := pf45'
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-- dedent terminates the block
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p
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-- same-line `calc <first relation>` with normal indent afterwards
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theorem foo₂ : t1 < t5 :=
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calc t1 = t2 := pf12
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_ < t3 := pf23'
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_ = t4 := pf34
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_ < t5 := pf45'
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-- `calc <first relation LHS>\n<indent><relation and relation RHS>`
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theorem foo₃ : t1 < t5 :=
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calc t1
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= t2 := pf12
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_ < t3 := pf23'
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_ = t4 := pf34
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_ < t5 := pf45'
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-- `calc <first relation LHS>\n<indent><relation and relation RHS>`
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theorem foo₄ : t1 < t5 :=
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calc t1 = t2 := pf12
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_ < t3 := pf23'
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_ = t4 := pf34
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_ < t5 := pf45'
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-- `by` with indented sequence of tactics in `calc`-item RHS
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theorem foo₅ : t1 = t4 :=
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calc
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t1 = t2 := pf12
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_ = t3 := by
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skip
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skip
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exact pf23
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_ = t4 := pf34
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-- function application with indented argument in `calc`-item RHS
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theorem foo₆ : t1 = t4 :=
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calc
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t1 = t2 := pf12
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_ = t3 := id
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pf23
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_ = t4 := pf34
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-- `calc <first relation LHS>\n<indent>_ <rel> <rhs> := <proof>` (term)
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theorem foo₇ : t1 < t5 :=
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calc t1
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_ = t2 := pf12
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_ < t3 := pf23'
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_ = t4 := pf34
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_ < t5 := pf45'
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-- `calc <first relation LHS>\n<indent>_ <rel> <rhs> := <proof>` (tactic)
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theorem foo₈ : t1 < t5 := by
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calc t1
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_ = t2 := pf12
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_ < t3 := pf23'
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_ = t4 := pf34
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_ < t5 := pf45'
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