module
module
IndisputableMonolith.Gravity.SevenGaps.CausalSimplex4D
show as:
view Lean formalization →
used by (3)
depends on (1)
declarations in this module (63)
-
inductive
CausalPentType -
abbrev
SqEdges10 -
def
pentEdgeVertices -
def
sliceOf -
def
isTimelike -
theorem
isTimelike_fourOne_eq_crossSlice -
theorem
isTimelike_threeTwo_eq_crossSlice -
theorem
slice_count_fourOne -
theorem
slice_count_threeTwo -
theorem
timelike_count_fourOne -
theorem
spacelike_count_fourOne -
theorem
timelike_count_threeTwo -
theorem
spacelike_count_threeTwo -
def
lorentzianSqEdges -
def
euclideanSqEdges -
def
LorentzianClass -
theorem
euclideanSqEdges_pos -
theorem
euclideanSqEdges_scale -
def
wick -
theorem
wick_wick -
theorem
wick_involutive -
theorem
wick_lorentzian -
theorem
lorentzian_continuation -
theorem
wick_eq_continuation -
theorem
wick_image_euclidean -
def
pentDistSq -
theorem
pentDistSq_edge -
def
pentDistances -
def
cm4 -
theorem
simplexVolumeSqN_eq_cm4_div -
def
pentMatrix41 -
def
pentMatrix32 -
theorem
det_pentMatrix41 -
theorem
det_pentMatrix32 -
theorem
cmMatrixN_euclidean_fourOne -
theorem
cmMatrixN_lorentzian_fourOne -
theorem
cmMatrixN_euclidean_threeTwo -
theorem
cmMatrixN_lorentzian_threeTwo -
theorem
cm4_euclidean_fourOne -
theorem
cm4_euclidean_threeTwo -
theorem
cm4_lorentzian_fourOne -
theorem
cm4_lorentzian_threeTwo -
theorem
cm4_euclidean_scale -
theorem
euclideanSqEdges_alpha_one -
theorem
cm4_regular_unit -
def
alphaMin -
theorem
alphaMin_fourOne -
theorem
alphaMin_threeTwo -
theorem
alphaMin_pos -
theorem
alphaMin_lt_one -
theorem
cm4_euclidean_pos_iff -
theorem
cm4_euclidean_pos -
theorem
cm4_euclidean_pos_joint -
theorem
cm4_euclidean_degenerate_at_min -
theorem
lorentzian_cm4_neg_fourOne -
theorem
lorentzian_cm4_neg_threeTwo -
structure
NonDegeneratePent -
def
euclideanCausalPent -
theorem
wick_lorentzian_nondegenerate -
def
physicalCausalPent -
structure
CausalSimplex4DStatus -
def
causalSimplex4DStatus -
theorem
causalSimplex4DStatus_flags