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formal statement (Lean)
202theorem lightlike_iff_speed_c (v : Displacement) :
203 interval v = 0 ↔ spatial_norm_sq v = temporal_sq v := by
proof body
Term-mode proof.
204 rw [interval_eq_spatial_minus_temporal]; constructor <;> intro h <;> linarith
205
206/-- **Timelike condition**: ds² < 0 iff |Δx|² < (Δt)². -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (5)
Lean names referenced from this declaration's body.
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Displacement
in IndisputableMonolith.Unification.SpacetimeEmergence
decl_use
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interval
in IndisputableMonolith.Unification.SpacetimeEmergence
decl_use
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interval_eq_spatial_minus_temporal
in IndisputableMonolith.Unification.SpacetimeEmergence
decl_use
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spatial_norm_sq
in IndisputableMonolith.Unification.SpacetimeEmergence
decl_use
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temporal_sq
in IndisputableMonolith.Unification.SpacetimeEmergence
decl_use