Nuprl Lemma : SudokuSolution_wf
∀[s:Sudoku()]. ∀[P:SudokuPuzzle()]. (SudokuSolution(s;P) ∈ ℙ)
Proof
Definitions occuring in Statement :
SudokuSolution: SudokuSolution(s;P),
SudokuPuzzle: SudokuPuzzle(),
Sudoku: Sudoku(),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
SudokuSolution: SudokuSolution(s;P),
so_lambda: λ2x.t[x],
Sudoku: Sudoku(),
so_apply: x[s]
Lemmas referenced :
all_wf,
int_seg_wf,
l_member_wf,
sudoku-cell_wf,
sudoku-allowed_wf,
SudokuPuzzle_wf,
Sudoku_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
hypothesis,
lambdaEquality,
setElimination,
rename,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[s:Sudoku()]. \mforall{}[P:SudokuPuzzle()]. (SudokuSolution(s;P) \mmember{} \mBbbP{})
Date html generated:
2016_05_15-PM-03_14_17
Last ObjectModification:
2015_12_27-PM-01_02_09
Theory : general
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