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.numbers.addition.add_real_closure_bin
2	instantiation	4, 5, 6, 7	⊢
	: , :
3	instantiation	8, 9	⊢
	:
4	theorem		⊢
	proveit.numbers.division.div_real_closure
5	instantiation	44, 23, 10	⊢
	: , : , :
6	instantiation	44, 23, 11	⊢
	: , : , :
7	instantiation	12, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.numbers.negation.real_closure
9	instantiation	15, 16, 17, 18	⊢
	: , : , :
10	instantiation	44, 29, 19	⊢
	: , : , :
11	instantiation	44, 29, 34	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
13	instantiation	44, 21, 20	⊢
	: , : , :
14	instantiation	44, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
17	instantiation	44, 23, 24	⊢
	: , : , :
18	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
19	instantiation	44, 25, 26	⊢
	: , : , :
20	instantiation	44, 28, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22	instantiation	44, 28, 43	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	44, 29, 40	⊢
	: , : , :
25	instantiation	30, 31, 32	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
31	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
32	instantiation	33, 34, 35	⊢
	: , :
33	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
34	instantiation	36, 37, 38	⊢
	: , :
35	instantiation	39, 40	⊢
	:
36	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
37	instantiation	44, 45, 41	⊢
	: , : , :
38	instantiation	44, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	instantiation	44, 45, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
43	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1