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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 6, 7, 8, 9, 10	, , ⊢
	: , : , : , :
3	instantiation	11, 12, 13, 14, 15, 16, 17	, , ⊢
	: , : , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	18	⊢
	: , : , :
7	instantiation	18	⊢
	: , : , :
8	instantiation	22, 19	⊢
	:
9	instantiation	20, 21	⊢
	:
10	instantiation	22, 23	⊢
	:
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	instantiation	24	⊢
	: , :
15	instantiation	39, 40, 25	⊢
	: , : , :
16	instantiation	39, 40, 26	⊢
	: , : , :
17	instantiation	39, 40, 27	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	instantiation	29, 28	⊢
	: , :
20	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
23	instantiation	29, 30	⊢
	: , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	instantiation	39, 31, 32	⊢
	: , : , :
26	instantiation	39, 33, 34	⊢
	: , : , :
27	instantiation	39, 33, 36	⊢
	: , : , :
28	instantiation	35, 34	⊢
	:
29	theorem		⊢
	proveit.numbers.ordering.relax_less
30	instantiation	35, 36	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
32	instantiation	37, 38	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	assumption		⊢