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.multiplication.mult_real_closure_bin
2	instantiation	32, 5, 4	⊢
	: , : , :
3	instantiation	32, 5, 6	⊢
	: , : , :
4	instantiation	32, 7, 20	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
6	instantiation	32, 7, 8	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
8	instantiation	32, 9, 10	⊢
	: , : , :
9	instantiation	11, 12, 13	⊢
	: , :
10	theorem		⊢
	proveit.physics.quantum.QPE._e_value_in_e_domain
11	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
12	instantiation	32, 24, 14	⊢
	: , : , :
13	instantiation	26, 15, 16	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	instantiation	17, 20, 18	⊢
	: , :
16	instantiation	19, 20	⊢
	:
17	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
18	instantiation	21, 22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.negation.int_closure
20	instantiation	32, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
22	instantiation	26, 27, 28	⊢
	: , :
23	instantiation	29, 30	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
27	instantiation	32, 31, 36	⊢
	: , : , :
28	instantiation	32, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
30	instantiation	35, 36	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
34	instantiation	37, 38	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
36	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
37	theorem		⊢
	proveit.numbers.negation.int_neg_closure
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1