def
definition
def or abbrev
CoshAddIdentity
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formal statement (Lean)
29def CoshAddIdentity (F : ℝ → ℝ) : Prop :=
proof body
Definition body.
30 ∀ t u : ℝ,
31 G F (t+u) + G F (t-u) = 2 * (G F t * G F u) + 2 * (G F t + G F u)
32
33/-- Direct cosh-add identity on a function. -/
used by (15)
-
composition_law_forces_reciprocity -
washburn_uniqueness_of_contDiff -
composition_law_equiv_coshAdd -
CoshAddIdentity_implies_DirectCoshAdd -
Jcost_cosh_add_identity -
normalized_implies_G_zero -
washburn_uniqueness -
washburn_uniqueness_aczel -
washburn_uniqueness_aczel -
T5_uniqueness_complete -
UniqueCostAxioms -
extraction_cost_strict_minimum -
Composition_implies_CoshAddIdentity -
nothing_costs_infinity -
uniqueness_specification