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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 37, 34, 6, 7, 11, 10, 8	⊢
	: , : , : , : , : , :
3	instantiation	9, 10, 11, 12	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	13	⊢
	: , :
8	instantiation	35, 15, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
10	instantiation	35, 15, 19	⊢
	: , : , :
11	instantiation	35, 15, 16	⊢
	: , : , :
12	instantiation	17	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	instantiation	18, 19	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	20, 21	⊢
	:
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	theorem		⊢
	proveit.numbers.negation.real_closure
19	instantiation	22, 23, 24, 25	⊢
	: , :
20	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
21	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
22	theorem		⊢
	proveit.numbers.division.div_real_closure
23	instantiation	35, 27, 26	⊢
	: , : , :
24	instantiation	35, 27, 28	⊢
	: , : , :
25	instantiation	29, 30	⊢
	:
26	instantiation	35, 32, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	35, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	instantiation	35, 36, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	35, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2