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	⊢
	: , : , :
1	reference	11	⊢
2	modus ponens	3, 4	⊢
3	instantiation	5, 6	⊢
	: , : , : , : , : , :
4	generalization	7	⊢
5	axiom		⊢
	proveit.core_expr_types.lambda_maps.lambda_substitution
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
7	instantiation	8, 9	⊢
	: , : , :
8	theorem		⊢
	proveit.core_expr_types.conditionals.condition_substitution
9	instantiation	11, 10	⊢
	: , : , :
10	instantiation	11, 12	⊢
	: , : , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	13, 14, 15	⊢
	: , :
13	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
14	instantiation	37, 17, 16	⊢
	: , : , :
15	instantiation	37, 17, 18	⊢
	: , : , :
16	instantiation	37, 20, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	37, 20, 21	⊢
	: , : , :
19	instantiation	37, 23, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	37, 23, 27	⊢
	: , : , :
22	instantiation	37, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	26, 27, 28	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	instantiation	37, 38, 29	⊢
	: , : , :
28	instantiation	30, 31, 32	⊢
	: , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
31	instantiation	37, 33, 34	⊢
	: , : , :
32	instantiation	35, 36	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
34	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
35	theorem		⊢
	proveit.numbers.negation.int_closure
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2