lemma
proved
term proof
sub
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78lemma sub (hx : PhiClosed φ x) (hy : PhiClosed φ y) :
79 PhiClosed φ (x - y) :=
proof body
Term-mode proof.
80 (phiSubfield φ).sub_mem hx hy
81
used by (40)
-
actionJ_convex_on_interp -
goldenDivision_lt_one -
bimodal_ratio_lt_phi_nine -
nobleGasZFull -
duhamelKernelDominatedConvergenceAt_of_forcing -
galerkinNS_hasDerivAt_duhamelRemainder_mode -
sat_eval_time -
Gate -
P_vs_NP_resolved -
RecognitionComplete -
Validation -
hierarchy_problem_dissolution -
hasDerivAt_Jcost -
hasDerivAt_Jlog -
dAlembert_contDiff_nat -
dAlembert_to_ODE_general -
ode_cos_uniqueness -
representation_formula -
dAlembert_contDiff_nat -
dAlembert_to_ODE_general -
ode_cos_uniqueness -
representation_formula -
aczel_classification_conditional -
dAlembert_first_deriv_of_contDiff -
dAlembert_second_deriv_at_zero_of_contDiff -
hasDerivAt_JcostDeriv -
Jcost_strictConvexOn_pos -
differentiableAt_Jcost -
dAlembert_continuous_of_log_curvature -
dAlembert_to_ODE_general_theorem