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	33	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
3	instantiation	6, 4, 5	⊢
	: , :
4	instantiation	6, 7, 8	⊢
	: , :
5	instantiation	33, 12, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.add_rational_closure_bin
7	instantiation	33, 10, 11	⊢
	: , : , :
8	instantiation	33, 12, 13	⊢
	: , : , :
9	instantiation	33, 14, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
11	instantiation	16, 17, 18	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
13	instantiation	33, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
16	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
17	instantiation	33, 21, 22	⊢
	: , : , :
18	instantiation	23, 24, 25	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
20	instantiation	26, 27	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22	instantiation	33, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
24	instantiation	33, 34, 30	⊢
	: , : , :
25	instantiation	31, 32	⊢
	:
26	theorem		⊢
	proveit.numbers.negation.int_neg_closure
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
30	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
31	theorem		⊢
	proveit.numbers.negation.int_closure
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos