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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4	⊢
	:
3	theorem		⊢
	proveit.numbers.addition.elim_zero_left
4	instantiation	5, 6	⊢
	:
5	theorem		⊢
	proveit.numbers.negation.complex_closure
6	instantiation	32, 24, 7	⊢
	: , : , :
7	instantiation	8, 9, 10	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	20, 11, 25	⊢
	: , :
10	instantiation	12, 13, 34, 14, 15, 16, 17, 18, 19	⊢
	: , : , : , : , : , :
11	instantiation	20, 22, 23	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.disassociation
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	21	⊢
	: , :
17	instantiation	32, 24, 22	⊢
	: , : , :
18	instantiation	32, 24, 23	⊢
	: , : , :
19	instantiation	32, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	instantiation	32, 26, 27	⊢
	: , : , :
23	instantiation	32, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	32, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
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.nat2