def
definition
def or abbrev
comp
show as:
view Lean formalization →
formal statement (Lean)
67def comp {O₁ O₂ O₃ : Octave}
68 (g : OctaveMorphism O₂ O₃) (f : OctaveMorphism O₁ O₂) : OctaveMorphism O₁ O₃ where
69 map := g.map ∘ f.map
proof body
Definition body.
70 preserves_order := fun x y h => g.preserves_order _ _ (f.preserves_order x y h)
71
72/-- Morphisms preserve equilibria (if target has NonNeg strain). -/
used by (40)
-
actionJ_convex_on_interp -
energy_conservation -
comp -
comp_apply -
comp_id -
CostMorphism -
eq_id_or_reciprocal -
id_comp -
reciprocal_comp_reciprocal -
CostAlgHomKappa -
CostAlgPlusHom -
ledgerAlg_comp -
monotone_preserves_argmin -
octaveAlg_comp -
phiRing_comp -
recAlg_comp -
recAlg_comp_assoc -
recAlg_id_left -
recAlg_id_right -
aestronglyMeasurable_galerkinForcing_mode_of_continuous -
divConstraint_eq_zero_of_forall -
duhamelKernelDominatedConvergenceAt_of_forcing -
duhamelRemainderOfGalerkin_integratingFactor -
galerkinNS_hasDerivAt_duhamelRemainder_mode -
hasDerivAt_extendByZero_apply -
nsDuhamel_of_forall -
nsDuhamel_of_forall_kernelIntegral_of_forcing -
stokesMild_of_forall -
stokesODE -
deriv_alphaInv_of_gap