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