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, 4, 5, 6, 7, 8, 9, 10	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	reference	34	⊢
3	reference	39	⊢
4	instantiation	11	⊢
	: , :
5	instantiation	11	⊢
	: , :
6	assumption		⊢
7	assumption		⊢
8	instantiation	12, 13, 14, 15	⊢
	: , :
9	instantiation	37, 24, 16	⊢
	: , : , :
10	instantiation	17, 18, 19	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	theorem		⊢
	proveit.numbers.division.div_complex_closure
13	instantiation	37, 24, 29	⊢
	: , : , :
14	instantiation	37, 24, 20	⊢
	: , : , :
15	instantiation	21, 22	⊢
	:
16	instantiation	37, 32, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
18	assumption		⊢
19	instantiation	37, 24, 25	⊢
	: , : , :
20	instantiation	37, 32, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	instantiation	37, 35, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	28, 29	⊢
	:
26	instantiation	37, 35, 30	⊢
	: , : , :
27	instantiation	37, 38, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.real_closure
29	instantiation	37, 32, 33	⊢
	: , : , :
30	instantiation	37, 38, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	37, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1