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, 7, 8, 9^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	40	⊢
3	reference	35	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	11, 16, 12	⊢
	: , :
8	instantiation	13, 15	⊢
	:
9	instantiation	14, 15, 16, 17	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
12	instantiation	38, 19, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	theorem		⊢
	proveit.numbers.addition.subtraction.negated_add
15	instantiation	38, 19, 26	⊢
	: , : , :
16	instantiation	38, 19, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
18	instantiation	21, 22, 23	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	38, 31, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
22	instantiation	25, 26	⊢
	:
23	instantiation	27, 28, 29	⊢
	: , : , :
24	instantiation	38, 36, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.negation.real_closure
26	instantiation	38, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	33, 34	⊢
	: , :
29	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
30	instantiation	38, 39, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	38, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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.nat1
^*equality replacement requirements