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	12	⊢
2	instantiation	12, 3	⊢
	: , : , :
3	modus ponens	4, 5	⊢
4	instantiation	6, 7	⊢
	: , : , : , : , : , :
5	generalization	8	⊢
6	axiom		⊢
	proveit.core_expr_types.lambda_maps.lambda_substitution
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
8	instantiation	9, 10	⊢
	: , : , :
9	theorem		⊢
	proveit.core_expr_types.conditionals.condition_substitution
10	instantiation	12, 11	⊢
	: , : , :
11	instantiation	12, 13	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	14, 15, 16	⊢
	: , :
14	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
15	instantiation	38, 18, 17	⊢
	: , : , :
16	instantiation	38, 18, 19	⊢
	: , : , :
17	instantiation	38, 21, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	38, 21, 22	⊢
	: , : , :
20	instantiation	38, 24, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	38, 24, 28	⊢
	: , : , :
23	instantiation	38, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	27, 28, 29	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
28	instantiation	38, 39, 30	⊢
	: , : , :
29	instantiation	31, 32, 33	⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
32	instantiation	38, 34, 35	⊢
	: , : , :
33	instantiation	36, 37	⊢
	:
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
36	theorem		⊢
	proveit.numbers.negation.int_closure
37	instantiation	38, 39, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2