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.elim_one_any
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	28	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8	⊢
	: , :
6	instantiation	10, 11, 9	⊢
	: , :
7	instantiation	10, 11, 12	⊢
	: , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	39, 20, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
11	instantiation	39, 20, 14	⊢
	: , : , :
12	instantiation	15, 16	⊢
	:
13	instantiation	17, 18	⊢
	:
14	instantiation	39, 25, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	39, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.real_closure
18	instantiation	39, 25, 22	⊢
	: , : , :
19	instantiation	39, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	39, 25, 26	⊢
	: , : , :
22	instantiation	39, 29, 32	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	39, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	39, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
30	instantiation	31, 32, 33	⊢
	: , :
31	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
32	instantiation	34, 35, 36	⊢
	: , :
33	instantiation	39, 40, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
35	instantiation	39, 40, 38	⊢
	: , : , :
36	instantiation	39, 40, 41	⊢
	: , : , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2