def
definition
def or abbrev
PhiLadder
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view Lean formalization →
formal statement (Lean)
83def PhiLadder : Set ℝ := { x | ∃ n : ℤ, x = φ^n }
proof body
Definition body.
84
85/-- φ^n is always positive for any integer n -/
used by (26)
-
H_StableIffPhiLadder -
IsStablePosition -
phi_ladder_div_closed -
phi_ladder_mul_closed -
mass_gap_is_spatial_minimum -
SpacetimeEmergenceCert -
bond_cost_nonneg -
bond_le_total -
contractible_bond_zero_cost -
gap_rigidity -
gap_separates_sectors -
gap_topologically_protected -
Jcost_phiLadder_symm -
Jcost_phiLadder_zero -
massGap_falsifier -
noncontractible_bond_gapped -
PhiLadder -
phiLadder_ge_phi -
phiLadder_gt_one -
phiLadder_pos -
spectral_gap -
spectral_gap_pos_rung -
spectral_gap_strict -
totalGaugeCost -
yang_mills_mass_gap_complete -
YMGapCertificate