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	axiom		⊢
	proveit.logic.booleans.eq_true_intro
4	instantiation	5, 6	⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
6	instantiation	7, 36, 8, 9	⊢
	: , :
7	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
9	instantiation	10, 29, 11, 12, 13, 14^, 15^	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	34, 30, 16	⊢
	: , : , :
13	instantiation	17, 18	⊢
	:
14	instantiation	19, 20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
16	instantiation	34, 32, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
19	theorem		⊢
	proveit.logic.equality.sub_right_side_into
20	instantiation	23, 25	⊢
	:
21	instantiation	24, 25, 26	⊢
	: , :
22	instantiation	34, 35, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.elim_zero_right
24	theorem		⊢
	proveit.numbers.addition.commutation
25	instantiation	34, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	34, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	34, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements