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formal statement (Lean)
12abbrev VolumeElement := Fields.VolumeElement
proof body
Definition body.
13
14/-- Einstein–Hilbert action: S_EH = (M_P²/2) ∫ √(-g) R d^4x.
15 Scaffold: returns symbolic R evaluation (integration machinery pending). -/
used by (11)
From the project-wide theorem graph. These declarations reference this one in their body.
-
eh_action_minkowski
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
einstein_hilbert_action
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
integrate_add
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
integrate_scalar
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
integrate_smul
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
kinetic_action
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
kinetic_nonneg
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
potential_action
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
sample_grid
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
VolumeElement
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
default_volume
in IndisputableMonolith.Relativity.ILG.Action
decl_use
depends on (2)
Lean names referenced from this declaration's body.
-
VolumeElement
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
-
S_EH
in IndisputableMonolith.Relativity.ILG.Action
decl_use