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lean2/tests/lean/tactic13.lean.expected.out

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feat(frontends/lean/parser): apply type inference elaborator to fill remaining metavariables/holes (these are holes produced by tactics such as apply_tac) Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-07 13:09:39 -08:00
Set: pp::colors
Set: pp::unicode
chore(builtin): rename nat, int and real modules to Nat, Int and Real. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 13:52:25 -08:00
Imported 'Int'
feat(frontends/lean/parser): apply type inference elaborator to fill remaining metavariables/holes (these are holes produced by tactics such as apply_tac) Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-07 13:09:39 -08:00
Assumed: f
Proved: T1
Proved: T2
feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 12:05:08 -08:00
theorem T1 (a b c : ℤ) (H1 : a = b) (H2 : a = c) : f (f a a) b = f (f b c) a :=
feat(*): change name conventions for Lean builtin libraries Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 19:10:21 -08:00
congr (congr (refl f) (congr (congr (refl f) H1) H2)) (symm H1)
feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 12:05:08 -08:00
theorem T2 (a b c : ℤ) (H1 : a = b) (H2 : a = c) : f (f a c) = f (f b a) :=
feat(*): change name conventions for Lean builtin libraries Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 19:10:21 -08:00
congr (refl f) (congr (congr (refl f) H1) (symm H2))
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