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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5, 34, 6, 7, 8, 9, 16, 10, 18, 11^*	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	12	⊢
	: , : , : , :
8	instantiation	32, 22, 13	⊢
	: , : , :
9	instantiation	32, 22, 14	⊢
	: , : , :
10	instantiation	15, 16	⊢
	:
11	instantiation	17, 18	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
13	instantiation	32, 26, 19	⊢
	: , : , :
14	instantiation	32, 26, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	32, 22, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
18	instantiation	32, 22, 23	⊢
	: , : , :
19	instantiation	32, 30, 24	⊢
	: , : , :
20	instantiation	32, 30, 25	⊢
	: , : , :
21	instantiation	32, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	assumption		⊢
24	instantiation	32, 33, 28	⊢
	: , : , :
25	instantiation	32, 33, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	32, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	32, 33, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements