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	reference	12	⊢
2	instantiation	4, 27, 5, 6, 7, 8^*	⊢
	: , : , :
3	instantiation	19, 9, 33, 10	, ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
6	instantiation	42, 30, 11	⊢
	: , : , :
7	instantiation	12, 13, 14	⊢
	: , : , :
8	instantiation	15, 16, 17	⊢
	: , : , :
9	instantiation	32, 18, 36	⊢
	: , :
10	assumption		⊢
11	instantiation	42, 35, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
13	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
14	instantiation	19, 36, 29, 25	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	instantiation	20, 22	⊢
	:
17	instantiation	21, 22, 23	⊢
	: , :
18	instantiation	42, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
20	theorem		⊢
	proveit.numbers.addition.elim_zero_right
21	theorem		⊢
	proveit.numbers.addition.commutation
22	instantiation	42, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
24	instantiation	28, 36, 29	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	42, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	instantiation	32, 33, 34	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	42, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
33	instantiation	42, 37, 38	⊢
	: , : , :
34	instantiation	39, 40	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	42, 43, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
38	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	instantiation	42, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat2
^*equality replacement requirements