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