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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.multiplication.strong_bound_via_right_factor_bound
2	instantiation	31, 8, 7	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	31, 8, 9	⊢
	: , : , :
5	instantiation	10, 11, 12	⊢
	: , : , :
6	instantiation	13, 14	⊢
	:
7	instantiation	31, 15, 30	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
9	instantiation	31, 15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
11	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
12	instantiation	17, 21, 22, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
16	instantiation	31, 18, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
18	instantiation	20, 21, 22	⊢
	: , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
21	instantiation	31, 32, 23	⊢
	: , : , :
22	instantiation	24, 25, 26	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	instantiation	31, 27, 28	⊢
	: , : , :
26	instantiation	29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
28	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2