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.disassociation
2	reference	42	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	40, 18, 28	⊢
	: , : , :
8	instantiation	40, 18, 11	⊢
	: , : , :
9	instantiation	12, 13, 14	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	40, 15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
13	instantiation	40, 18, 17	⊢
	: , : , :
14	instantiation	40, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
16	instantiation	20, 21, 22, 23	⊢
	: , :
17	instantiation	24, 25, 28, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	27, 28	⊢
	:
20	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
21	instantiation	40, 30, 29	⊢
	: , : , :
22	instantiation	40, 30, 31	⊢
	: , : , :
23	instantiation	32, 37	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
26	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
27	theorem		⊢
	proveit.numbers.negation.real_closure
28	instantiation	40, 33, 34	⊢
	: , : , :
29	instantiation	40, 36, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
31	instantiation	40, 36, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	40, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1