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	modus ponens	1, 2	⊢
1	instantiation	3, 4^*	⊢
	: , : , : , : , : , :
2	instantiation	5, 6, 7	⊢
	: , :
3	theorem		⊢
	proveit.logic.sets.functions.bijections.bijection_transitivity
4	instantiation	8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
6	instantiation	10, 11, 25, 30, 18	⊢
	: , : , : , : , :
7	theorem		⊢
	proveit.physics.quantum.QPE._sample_space_bijection
8	axiom		⊢
	proveit.logic.equality.substitution
9	instantiation	12, 13	⊢
	: , :
10	theorem		⊢
	proveit.numbers.modular.interval_left_shift_bijection
11	instantiation	14, 15, 16	⊢
	: , :
12	theorem		⊢
	proveit.logic.equality.equals_reversal
13	instantiation	17, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
16	instantiation	33, 20, 21	⊢
	: , : , :
17	axiom		⊢
	proveit.physics.quantum.QPE._mod_add_def
18	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
19	instantiation	33, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
21	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
22	instantiation	24, 25, 30	⊢
	: , :
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
25	instantiation	26, 27, 28	⊢
	: , :
26	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
27	instantiation	29, 30	⊢
	:
28	instantiation	33, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	33, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
^*equality replacement requirements