pith. machine review for the scientific record. sign in
def definition def or abbrev

minkowski_tensor

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

  22noncomputable def minkowski_tensor : MetricTensor :=

proof body

Definition body.

  23  { g := eta
  24    symmetric := by
  25      intro x up low
  26      unfold eta
  27      dsimp
  28      by_cases h : low 0 = low 1
  29      · have h_rev : low 1 = low 0 := h.symm
  30        rw [if_pos h, if_pos h_rev]
  31        rw [h]
  32      · have h_rev : low 1 ≠ low 0 := fun heq => h heq.symm
  33        rw [if_neg h, if_neg h_rev] }
  34

used by (29)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (6)

Lean names referenced from this declaration's body.