theorem
proved
term proof
lt_trans
show as:
view Lean formalization →
formal statement (Lean)
383theorem lt_trans {a b c : LogicNat} (hab : a < b) (hbc : b < c) : a < c := by
proof body
Term-mode proof.
384 rw [lt_iff_succ_le] at hab hbc ⊢
385 exact le_trans hab (le_trans (le_succ b) hbc)
386
used by (40)
-
defectDist_no_global_quasi_triangle -
Cycle -
lambda_PBM_approx -
angle_bias -
gamma_pos -
w8_pos -
band_excludes_falsifier -
alpha_over_pi_bounds -
ml_consistent_with_observation -
ml_is_derived_not_input -
ml_is_phi_power -
phi_13_bounds -
sensitivity_strict_anti -
null_holds_if_C_lag_small -
cosh_quadratic_bound -
hierarchy_emergence_forces_phi -
ledger_forces_phi -
phi_gt_onePointSix -
phi_lt_onePointEight -
noether_not_necessarily_quantized -
log_phi_lt_one -
enhancement_real_strict_mono -
kappa_CP_lt_one -
H_GravitationalRunning_certificate -
r_ref_exact_gt_r -
gap_decreasing -
correction_RS_strict_anti -
minus_one_step_forces_phi_shift -
born_rule_from_C -
pitchJND_pos