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, 4, 5, 6, 7	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.term_as_strong_upper_bound
2	reference	15	⊢
3	reference	29	⊢
4	instantiation	8, 9	⊢
	:
5	reference	16	⊢
6	instantiation	10, 11	⊢
	:
7	instantiation	31, 12, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
9	instantiation	14, 29, 15, 16, 17	⊢
	: , : , : , : , :
10	theorem		⊢
	proveit.numbers.negation.real_neg_closure
11	instantiation	18, 19, 20, 21	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
13	instantiation	31, 22, 23	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
18	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
19	instantiation	31, 25, 24	⊢
	: , : , :
20	instantiation	31, 25, 26	⊢
	: , : , :
21	instantiation	27, 33	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	31, 28, 29	⊢
	: , : , :
24	instantiation	31, 32, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
26	instantiation	31, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
33	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos