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	theorem		⊢
	proveit.numbers.division.frac_one_denom
2	instantiation	3, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.logic.equality.sub_right_side_into
4	instantiation	13, 6, 12	⊢
	: , :
5	instantiation	7, 8, 28, 9, 10, 11, 14, 15, 12	⊢
	: , : , : , : , : , :
6	instantiation	13, 14, 15	⊢
	: , :
7	theorem		⊢
	proveit.numbers.multiplication.disassociation
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	16	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	instantiation	26, 18, 17	⊢
	: , : , :
15	instantiation	26, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	26, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	26, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	26, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2