theorem
proved
term proof
one_mul
show as:
view Lean formalization →
formal statement (Lean)
194theorem one_mul (n : LogicNat) : succ zero * n = n := by
proof body
Term-mode proof.
195 induction n with
196 | identity => rfl
197 | step n ih =>
198 show succ zero * succ n = succ n
199 rw [mul_succ, ih]
200 show n + succ zero = succ n
201 rw [add_succ, add_zero]
202
used by (40)
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shiftedCompose_val -
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canonicalPhiRingObj -
PhiRingObj -
duhamelKernelDominatedConvergenceAt_of_forcing -
circuit_lower_bound_algebraic -
p_neq_np_conditional -
multiplicative_le_additive_of_sqNorm_le_one -
defect_le_ortho_of_Knet_one_Cproj_one -
releaseRate_strict_mono -
sensitivity_strict_anti -
love_equilibrates -
Composition_Normalization_implies_symmetry -
entangling_forces_hyperbolic_ode -
interaction_implies_entangling -
dAlembert_with_unit_calibration -
bilinear_family_forced -
symmetry_and_normalization_constrain_P -
cost_stability_calibrated -
stability_calibrated -
zero_defect_calibrated_implies_cosh -
unit_coefficients_give_fibonacci -
RecognitionBridge -
posting_gives_unit_recurrence -
gamma_ge_one -
lcm_8_45_eq_360 -
lcm_9_5_eq_45 -
nothing_costs_arbitrarily_large -
ilgModel