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.ordering.transitivity_less_less_eq
2	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
3	instantiation	4, 5, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
5	instantiation	26, 18, 8	⊢
	: , : , :
6	instantiation	20, 9, 10	⊢
	: , :
7	theorem		⊢
	proveit.physics.quantum.QPE._e_value_in_e_domain
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	instantiation	11, 14, 12	⊢
	: , :
10	instantiation	13, 14	⊢
	:
11	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
12	instantiation	15, 16, 17	⊢
	:
13	theorem		⊢
	proveit.numbers.negation.int_closure
14	instantiation	26, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
16	instantiation	20, 21, 22	⊢
	: , :
17	instantiation	23, 24	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
20	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
21	instantiation	26, 25, 30	⊢
	: , : , :
22	instantiation	26, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
24	instantiation	29, 30	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
28	instantiation	31, 32	⊢
	:
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
30	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
31	theorem		⊢
	proveit.numbers.negation.int_neg_closure
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1