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