lemma
proved
wrapper
pow
show as:
view Lean formalization →
formal statement (Lean)
96lemma pow (hx : PhiClosed φ x) (n : ℕ) : PhiClosed φ (x ^ n) := by
proof body
One-line wrapper that applies simpa.
97 simpa using (phiSubfield φ).pow_mem hx n
98
used by (25)
-
energy_conservation -
ode_neg_zero_uniqueness -
ode_neg_zero_uniqueness -
aczel_classification_conditional -
ode_neg_zero_uniqueness -
hyperbolic_ode_unique -
coerciveL2Bound_of_tailFluxVanish -
ancientDecay_implies_A2_integrable -
ancientDecay_implies_Aprime2r2_integrable -
operatorPairing_of_decayFull -
sobolev_H1_half_line_decay -
hasDerivAt_rpow_two -
pow_self -
differentiableAt_coordRay_i_sq -
differentiableAt_coordRay_partialDeriv_v2_radialInv -
differentiableAt_coordRay_radialInv -
partialDeriv_v2_radialInv -
partialDeriv_v2_spatialRadius -
secondDeriv_radialInv -
differentiableAt_coordRay_partialDeriv_v2_radialInv_proved -
partialDeriv_v2_radialInv_proved -
secondDeriv_radialInv_proved -
pow10 -
alphaInvValueStr -
pow10