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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 26, 5, 6, 7, 8, 9, 10	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.association
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	11	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	27, 28, 12	⊢
	: , : , :
9	instantiation	27, 28, 13	⊢
	: , : , :
10	instantiation	27, 28, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	27, 15, 16	⊢
	: , : , :
13	instantiation	27, 17, 18	⊢
	: , : , :
14	instantiation	27, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	27, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
20	instantiation	23, 24	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	27, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
24	instantiation	27, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	assumption		⊢