Mathlib Map

Theorems · Theorem

Matrix.cons_cons_comp_swap_zero_one

∀ {α : Type u} {n : ℕ} (a b : α) (x : Fin n → α),
  Matrix.vecCons a (Matrix.vecCons b x) ∘ ⇑(Equiv.swap 0 1) = Matrix.vecCons b (Matrix.vecCons a x)
Defined in
Mathlib.Data.Fin.VecNotation
Cited by
2 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Height.mulHeight_cons_cons_zero · cited by 3Height.mulHeight_cons_con…Height.mulHeight_cons_cons_cons_zero · cited by 1Height.mulHeight_cons_con…DFunLike.coe · cited by 62936DFunLike.coeEquiv.Perm · cited by 1375Equiv.PermMatrix.vecCons · cited by 852Matrix.vecConsEquiv.swap · cited by 197Equiv.swapMatrix.cons_val_succ · cited by 47Matrix.cons_val_succEquiv.swap_apply_left · cited by 44Equiv.swap_apply_leftEquiv.swap_apply_of_ne_of_ne · cited by 39Equiv.swap_apply_of_ne_of…Equiv.swap_apply_right · cited by 31Equiv.swap_apply_rightMatrix.cons_cons_comp_swap_ze…CITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.