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^*	, , , ⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_as_mult
2	instantiation	6, 7, 8	, ⊢
	: , : , :
3	reference	20	⊢
4	assumption		⊢
5	instantiation	13, 14, 9, 40, 15, 10, 23, 24, 17, 11	, , ⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.logic.equality.sub_right_side_into
7	instantiation	22, 12, 17	, ⊢
	: , :
8	instantiation	13, 14, 37, 40, 15, 16, 23, 24, 17	, ⊢
	: , : , : , : , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	instantiation	18	⊢
	: , : , :
11	instantiation	19, 20, 21	⊢
	: , :
12	instantiation	22, 23, 24	⊢
	: , :
13	theorem		⊢
	proveit.numbers.multiplication.disassociation
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	25	⊢
	: , :
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	assumption		⊢
21	instantiation	38, 27, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
23	instantiation	38, 27, 28	⊢
	: , : , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	38, 32, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.real_closure
30	instantiation	38, 32, 33	⊢
	: , : , :
31	instantiation	38, 35, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	38, 35, 36	⊢
	: , : , :
34	instantiation	38, 39, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	38, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements