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formal statement (Lean)
49def minkowski : MetricTensor where
50 g := fun mu nu => if mu = nu then (if mu = 0 then -1 else 1) else 0
proof body
Definition body.
51 symmetric := by intro mu nu; split_ifs <;> simp_all [eq_comm]
52
53/-- The Minkowski inverse equals the Minkowski metric itself. -/
used by (5)
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.
-
mu
in IndisputableMonolith.Cost.Ndim.Projector
decl_use
-
MetricTensor
in IndisputableMonolith.Foundation.Hamiltonian
decl_use
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MetricTensor
in IndisputableMonolith.Gravity.Connection
decl_use
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MetricTensor
in IndisputableMonolith.Meta.Homogenization
decl_use
-
MetricTensor
in IndisputableMonolith.Relativity.Geometry.Metric
decl_use