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	, , , ⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	30	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8, 9, 10, 18, 11, 12	, , ⊢
	: , :
6	reference	11	⊢
7	instantiation	13, 14, 15	, ⊢
	: , :
8	theorem		⊢
	proveit.numbers.addition.add_complex_closure
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	instantiation	16	⊢
	: , : , :
11	assumption		⊢
12	assumption		⊢
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	17, 18, 19	, ⊢
	: , :
15	instantiation	28, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
18	assumption		⊢
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	22, 23	⊢
	:
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	28, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	28, 26, 27	⊢
	: , : , :
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.nat1