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, 3	, , ⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 5, 6	, , ⊢
	: , : , :
3	reference	30	⊢
4	theorem		⊢
	proveit.logic.equality.sub_right_side_into
5	instantiation	7, 26, 27	, ⊢
	: , :
6	instantiation	10, 8, 9	, , ⊢
	: , : , :
7	axiom		⊢
	proveit.numbers.ordering.min_def_bin
8	instantiation	10, 11, 12	, , ⊢
	: , : , :
9	instantiation	13, 14, 15, 16	⊢
	: , : , : , : , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	18, 17	, , ⊢
	: , : , :
12	instantiation	18, 19	, , ⊢
	: , : , :
13	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	20, 24	, , ⊢
	: , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	21, 22	, , ⊢
	: , :
20	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
21	theorem		⊢
	proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
22	instantiation	23, 26, 27, 24	, , ⊢
	: , :
23	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
24	instantiation	25, 26, 27, 28	, , ⊢
	: , :
25	theorem		⊢
	proveit.numbers.ordering.relax_equal_to_less_eq
26	assumption		⊢
27	assumption		⊢
28	instantiation	29, 30	⊢
	: , :
29	theorem		⊢
	proveit.logic.equality.equals_reversal
30	assumption		⊢