lemma
proved
term proof
mul
show as:
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formal statement (Lean)
85lemma mul (hx : PhiClosed φ x) (hy : PhiClosed φ y) :
86 PhiClosed φ (x * y) :=
proof body
Term-mode proof.
87 (phiSubfield φ).mul_mem hx hy
88
used by (40)
-
shiftedComposeH_val -
shiftedCompose_val -
J_at_phi -
PhiInt -
canonicalPhiRingObj -
PhiRingHom -
PhiRingObj -
divConstraint_continuous -
duhamelKernelDominatedConvergenceAt_of_forcing -
DimensionedQuantity -
dAlembert_contDiff_top -
dAlembert_contDiff_top -
dAlembert_first_deriv_of_contDiff -
dAlembert_second_deriv_at_zero_of_contDiff -
dAlembert_continuous_of_log_curvature -
deriv_neg_self_zero -
deriv_pos_self_zero -
tendsto_H_one_of_log_curvature -
Jcost_continuous_pos -
hasDerivAt_costAlphaLog_first -
mul -
mul_def -
toComplex_mul -
hasDerivAt_costAlphaLog -
log_bilinear_affine_lift_classification -
mul -
add_mul' -
mul -
response_limit_high_freq -
solution_exists