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	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	12, 4, 11	, ⊢
	: , :
3	instantiation	5, 6, 7, 8, 9, 10, 13, 14, 11	, ⊢
	: , : , : , : , : , :
4	instantiation	12, 13, 14	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	15	⊢
	: , :
11	assumption		⊢
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	instantiation	16, 17, 18, 19	⊢
	: , :
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.numbers.division.div_complex_closure
17	instantiation	32, 21, 20	⊢
	: , : , :
18	instantiation	32, 21, 22	⊢
	: , : , :
19	instantiation	23, 24	⊢
	:
20	instantiation	32, 26, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	32, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
25	instantiation	32, 29, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	32, 29, 30	⊢
	: , : , :
28	instantiation	32, 33, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	32, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
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.nat3