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.ordering.less_eq_add_right_strong
2	instantiation	39, 20, 7	⊢
	: , : , :
3	instantiation	39, 8, 9	⊢
	: , : , :
4	reference	12	⊢
5	instantiation	10, 11, 12, 13, 14, 15	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
7	instantiation	39, 30, 16	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
9	instantiation	39, 17, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
11	instantiation	39, 20, 19	⊢
	: , : , :
12	instantiation	39, 20, 21	⊢
	: , : , :
13	instantiation	22, 23, 37	⊢
	: , : , :
14	instantiation	24, 37	⊢
	:
15	instantiation	25, 38	⊢
	:
16	instantiation	39, 40, 26	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
18	instantiation	39, 27, 28	⊢
	: , : , :
19	instantiation	39, 30, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	39, 30, 31	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
23	instantiation	32, 33	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
26	instantiation	34, 38, 41	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
28	instantiation	35, 36, 37	⊢
	: , :
29	instantiation	39, 40, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	39, 40, 41	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
34	theorem		⊢
	proveit.numbers.multiplication.mult_nat_closure_bin
35	theorem		⊢
	proveit.numbers.multiplication.mult_nat_pos_closure_bin
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1