Show the Proof¶
In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
| step type | requirements | statement | ||
|---|---|---|---|---|
| 0 | generalization | 1 | ⊢  | |
| 1 | instantiation | 6, 2, 3 | ⊢  | |
 : ,  :  | ||||
| 2 | generalization | 4 | ⊢ | |
| 3 | instantiation | 5 | ⊢  | |
 :  ,  :  | ||||
| 4 | instantiation | 6, 7, 8 |  ⊢  | |
: , :  | ||||
| 5 | axiom | ⊢  | ||
| proveit.logic.sets.inclusion.subset_eq_def | ||||
| 6 | theorem | ⊢  | ||
| proveit.logic.equality.lhs_via_equality | ||||
| 7 | instantiation | 9, 10 | ⊢ | |
:  , :  | ||||
| 8 | instantiation | 11, 13, 14 | ⊢  | |
 :  ,  : , :  | ||||
| 9 | theorem | ⊢  | ||
| proveit.logic.booleans.disjunction.or_if_both | ||||
| 10 | instantiation | 12, 13, 14, 15 | ⊢  | |
| : , : , : | ||||
| 11 | axiom | ⊢  | ||
| proveit.logic.sets.unification.union_def | ||||
| 12 | theorem | ⊢  | ||
| proveit.logic.sets.intersection.membership_unfolding | ||||
| 13 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.posnat2 | ||||
| 14 | instantiation | 16 | ⊢  | |
 : ,  : | ||||
| 15 | assumption | ⊢ | ||
| 16 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_2_typical_eq | ||||