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	instantiation	1, 2	, , ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	8, 3, 4	, , ⊢
	: , : , :
3	instantiation	5, 27, 26	, ⊢
	: , :
4	instantiation	6, 26, 27, 7^*	, , ⊢
	: , :
5	theorem		⊢
	proveit.numbers.ordering.min_bin_args_commute
6	axiom		⊢
	proveit.numbers.ordering.min_def_bin
7	instantiation	8, 9, 10	, , ⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	11, 12, 13, 14, 15, 16	, , ⊢
	: , : , : , :
10	instantiation	17, 18, 19, 20	⊢
	: , : , : , : , :
11	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	instantiation	21	⊢
	: , :
14	instantiation	21	⊢
	: , :
15	instantiation	22, 28	⊢
	: , :
16	instantiation	23, 24	, , ⊢
	: , :
17	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
23	theorem		⊢
	proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
24	instantiation	25, 26, 27, 28	, , ⊢
	: , :
25	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
26	assumption		⊢
27	assumption		⊢
28	assumption		⊢
^*equality replacement requirements