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, 9, 30, 7, 11, 5, 13, 14, 12, 15	⊢
	: , : , : , : , : , : , :
3	instantiation	6, 7, 8, 9, 10, 11, 12, 13, 14, 15	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	instantiation	16	⊢
	: , :
6	theorem		⊢
	proveit.numbers.multiplication.association
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	17	⊢
	: , : , :
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
13	instantiation	28, 20, 18	⊢
	: , : , :
14	instantiation	28, 20, 19	⊢
	: , : , :
15	instantiation	28, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	instantiation	28, 22, 23	⊢
	: , : , :
19	instantiation	28, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	28, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2