lean2/tests/lean/run/contra1.lean
Leonardo de Moura 9c8a63caec feat(library/tactic): add 'contradiction' tactic
see issue #500

Remark: this tactic also applies no_confusion to take care of a contradiction
2015-04-30 13:47:40 -07:00

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example (a b : nat) (h : false) : a = b :=
by contradiction
example : ∀ (a b : nat), false → a = b :=
by contradiction
example : ∀ (a b : nat), 0 = 1 → a = b :=
by contradiction
definition id {A : Type} (a : A) := a
example : ∀ (a b : nat), id false → a = b :=
by contradiction
example : ∀ (a b : nat), id (0 = 1) → a = b :=
by contradiction